diff --git a/gio/tests/memory-monitor-dbus.py.in b/gio/tests/memory-monitor-dbus.py.in
index bb9d7d5b7..cd16cf4e3 100755
--- a/gio/tests/memory-monitor-dbus.py.in
+++ b/gio/tests/memory-monitor-dbus.py.in
@@ -14,90 +14,98 @@ __license__ = 'LGPL 3+'
 import unittest
 import sys
 import subprocess
-import dbus
-import dbus.mainloop.glib
-import dbusmock
 import fcntl
 import os
 import time
 
 import taptestrunner
 
-from gi.repository import GLib
-from gi.repository import Gio
+try:
+    # Do all non-standard imports here so we can skip the tests if any
+    # needed packages are not available.
+    import dbus
+    import dbus.mainloop.glib
+    import dbusmock
+    from gi.repository import GLib
+    from gi.repository import Gio
 
-dbus.mainloop.glib.DBusGMainLoop(set_as_default=True)
+    dbus.mainloop.glib.DBusGMainLoop(set_as_default=True)
 
-# XDG_DESKTOP_PORTAL_PATH = os.path.expanduser("~/.cache/jhbuild/build/xdg-desktop-portal/xdg-desktop-portal")
-XDG_DESKTOP_PORTAL_PATH = "@libexecdir@/xdg-desktop-portal"
+    # XDG_DESKTOP_PORTAL_PATH = os.path.expanduser("~/.cache/jhbuild/build/xdg-desktop-portal/xdg-desktop-portal")
+    XDG_DESKTOP_PORTAL_PATH = "@libexecdir@/xdg-desktop-portal"
 
-class TestLowMemoryMonitor(dbusmock.DBusTestCase):
-    '''Test GMemoryMonitorDBus'''
+    class TestLowMemoryMonitor(dbusmock.DBusTestCase):
+        '''Test GMemoryMonitorDBus'''
 
-    @classmethod
-    def setUpClass(klass):
-        klass.start_system_bus()
-        klass.dbus_con = klass.get_dbus(True)
+        @classmethod
+        def setUpClass(klass):
+            klass.start_system_bus()
+            klass.dbus_con = klass.get_dbus(True)
 
-    def setUp(self):
-        try:
-            Gio.MemoryMonitor
-        except AttributeError:
-            raise unittest.SkipTest('Low memory monitor not in '
-                                    'introspection data. Requires '
-                                    'GObject-Introspection ≥ 1.63.2')
-        try:
-            (self.p_mock, self.obj_lmm) = self.spawn_server_template(
-                'low_memory_monitor', {}, stdout=subprocess.PIPE)
-        except ModuleNotFoundError:
-            raise unittest.SkipTest("Low memory monitor dbusmock template not "
-                                    "found. Requires dbusmock ≥ 0.18.4.")
-        # set log to nonblocking
-        flags = fcntl.fcntl(self.p_mock.stdout, fcntl.F_GETFL)
-        fcntl.fcntl(self.p_mock.stdout, fcntl.F_SETFL, flags | os.O_NONBLOCK)
-        self.last_warning = -1
-        self.dbusmock = dbus.Interface(self.obj_lmm, dbusmock.MOCK_IFACE)
-        self.memory_monitor = Gio.MemoryMonitor.dup_default()
-        self.memory_monitor.connect("low-memory-warning", self.memory_warning_cb)
-        self.mainloop = GLib.MainLoop()
-        self.main_context = self.mainloop.get_context()
+        def setUp(self):
+            try:
+                Gio.MemoryMonitor
+            except AttributeError:
+                raise unittest.SkipTest('Low memory monitor not in '
+                                        'introspection data. Requires '
+                                        'GObject-Introspection ≥ 1.63.2')
+            try:
+                (self.p_mock, self.obj_lmm) = self.spawn_server_template(
+                    'low_memory_monitor', {}, stdout=subprocess.PIPE)
+            except ModuleNotFoundError:
+                raise unittest.SkipTest("Low memory monitor dbusmock template not "
+                                        "found. Requires dbusmock ≥ 0.18.4.")
+            # set log to nonblocking
+            flags = fcntl.fcntl(self.p_mock.stdout, fcntl.F_GETFL)
+            fcntl.fcntl(self.p_mock.stdout, fcntl.F_SETFL, flags | os.O_NONBLOCK)
+            self.last_warning = -1
+            self.dbusmock = dbus.Interface(self.obj_lmm, dbusmock.MOCK_IFACE)
+            self.memory_monitor = Gio.MemoryMonitor.dup_default()
+            self.memory_monitor.connect("low-memory-warning", self.memory_warning_cb)
+            self.mainloop = GLib.MainLoop()
+            self.main_context = self.mainloop.get_context()
 
-    def tearDown(self):
-        self.p_mock.terminate()
-        self.p_mock.wait()
+        def tearDown(self):
+            self.p_mock.terminate()
+            self.p_mock.wait()
 
-    def memory_warning_cb(self, monitor, level):
-        self.last_warning = level
-        self.main_context.wakeup()
+        def memory_warning_cb(self, monitor, level):
+            self.last_warning = level
+            self.main_context.wakeup()
 
-    def test_low_memory_warning_signal(self):
-        '''LowMemoryWarning signal'''
+        def test_low_memory_warning_signal(self):
+            '''LowMemoryWarning signal'''
 
-        # Wait 2 seconds
-        timeout = 2
-        while timeout > 0:
-            time.sleep(0.5)
-            timeout -= 0.5
-            self.main_context.iteration(False)
+            # Wait 2 seconds
+            timeout = 2
+            while timeout > 0:
+                time.sleep(0.5)
+                timeout -= 0.5
+                self.main_context.iteration(False)
 
-        self.dbusmock.EmitWarning(100)
-        # Wait 2 seconds or until warning
-        timeout = 2
-        while timeout > 0 and self.last_warning != 100:
-            time.sleep(0.5)
-            timeout -= 0.5
-            self.main_context.iteration(False)
-        self.assertEqual(self.last_warning, 100)
+            self.dbusmock.EmitWarning(100)
+            # Wait 2 seconds or until warning
+            timeout = 2
+            while timeout > 0 and self.last_warning != 100:
+                time.sleep(0.5)
+                timeout -= 0.5
+                self.main_context.iteration(False)
+            self.assertEqual(self.last_warning, 100)
 
-        self.dbusmock.EmitWarning(255)
-        # Wait 2 seconds or until warning
-        timeout = 2
-        while timeout > 0 and self.last_warning != 255:
-            time.sleep(0.5)
-            timeout -= 0.5
-            self.main_context.iteration(False)
-        self.assertEqual(self.last_warning, 255)
+            self.dbusmock.EmitWarning(255)
+            # Wait 2 seconds or until warning
+            timeout = 2
+            while timeout > 0 and self.last_warning != 255:
+                time.sleep(0.5)
+                timeout -= 0.5
+                self.main_context.iteration(False)
+            self.assertEqual(self.last_warning, 255)
 
+except ImportError as e:
+    @unittest.skip("Cannot import %s" % e.name)
+    class TestLowMemoryMonitor(unittest.TestCase):
+        def test_low_memory_warning_signal(self):
+            pass
 
 if __name__ == '__main__':
     unittest.main(testRunner=taptestrunner.TAPTestRunner())
diff --git a/gio/tests/memory-monitor-portal.py.in b/gio/tests/memory-monitor-portal.py.in
index 214e18c93..cb4a960eb 100755
--- a/gio/tests/memory-monitor-portal.py.in
+++ b/gio/tests/memory-monitor-portal.py.in
@@ -14,106 +14,114 @@ __license__ = 'LGPL 3+'
 import unittest
 import sys
 import subprocess
-import dbus
-import dbus.mainloop.glib
-import dbusmock
 import fcntl
 import os
 import time
 
 import taptestrunner
 
-from gi.repository import GLib
-from gi.repository import Gio
+try:
+    # Do all non-standard imports here so we can skip the tests if any
+    # needed packages are not available.
+    import dbus
+    import dbus.mainloop.glib
+    import dbusmock
+    from gi.repository import GLib
+    from gi.repository import Gio
 
-dbus.mainloop.glib.DBusGMainLoop(set_as_default=True)
+    dbus.mainloop.glib.DBusGMainLoop(set_as_default=True)
 
-# XDG_DESKTOP_PORTAL_PATH = os.path.expanduser("~/.cache/jhbuild/build/xdg-desktop-portal/xdg-desktop-portal")
-XDG_DESKTOP_PORTAL_PATH = "@libexecdir@/xdg-desktop-portal"
+    # XDG_DESKTOP_PORTAL_PATH = os.path.expanduser("~/.cache/jhbuild/build/xdg-desktop-portal/xdg-desktop-portal")
+    XDG_DESKTOP_PORTAL_PATH = "@libexecdir@/xdg-desktop-portal"
 
-class TestLowMemoryMonitorPortal(dbusmock.DBusTestCase):
-    '''Test GMemoryMonitorPortal'''
+    class TestLowMemoryMonitorPortal(dbusmock.DBusTestCase):
+        '''Test GMemoryMonitorPortal'''
 
-    @classmethod
-    def setUpClass(klass):
-        klass.start_system_bus()
-        klass.dbus_con = klass.get_dbus(True)
-        # Start session bus so that xdg-desktop-portal can run on it
-        klass.start_session_bus()
+        @classmethod
+        def setUpClass(klass):
+            klass.start_system_bus()
+            klass.dbus_con = klass.get_dbus(True)
+            # Start session bus so that xdg-desktop-portal can run on it
+            klass.start_session_bus()
 
-    def setUp(self):
-        try:
-            Gio.MemoryMonitor
-        except AttributeError:
-            raise unittest.SkipTest('Low memory monitor not in '
-                                    'introspection data. Requires '
-                                    'GObject-Introspection ≥ 1.63.2')
-        try:
-            (self.p_mock, self.obj_lmm) = self.spawn_server_template(
-                'low_memory_monitor', {}, stdout=subprocess.PIPE)
-        except ModuleNotFoundError:
-            raise unittest.SkipTest("Low memory monitor dbusmock template not "
-                                    "found. Requires dbusmock ≥ 0.18.4.")
-        # set log to nonblocking
-        flags = fcntl.fcntl(self.p_mock.stdout, fcntl.F_GETFL)
-        fcntl.fcntl(self.p_mock.stdout, fcntl.F_SETFL, flags | os.O_NONBLOCK)
-        self.last_warning = -1
-        self.dbusmock = dbus.Interface(self.obj_lmm, dbusmock.MOCK_IFACE)
-        try:
-            self.xdp = subprocess.Popen([XDG_DESKTOP_PORTAL_PATH])
-        except FileNotFoundError:
-            raise unittest.SkipTest("xdg-desktop-portal not available")
+        def setUp(self):
+            try:
+                Gio.MemoryMonitor
+            except AttributeError:
+                raise unittest.SkipTest('Low memory monitor not in '
+                                        'introspection data. Requires '
+                                        'GObject-Introspection ≥ 1.63.2')
+            try:
+                (self.p_mock, self.obj_lmm) = self.spawn_server_template(
+                    'low_memory_monitor', {}, stdout=subprocess.PIPE)
+            except ModuleNotFoundError:
+                raise unittest.SkipTest("Low memory monitor dbusmock template not "
+                                        "found. Requires dbusmock ≥ 0.18.4.")
+            # set log to nonblocking
+            flags = fcntl.fcntl(self.p_mock.stdout, fcntl.F_GETFL)
+            fcntl.fcntl(self.p_mock.stdout, fcntl.F_SETFL, flags | os.O_NONBLOCK)
+            self.last_warning = -1
+            self.dbusmock = dbus.Interface(self.obj_lmm, dbusmock.MOCK_IFACE)
+            try:
+                self.xdp = subprocess.Popen([XDG_DESKTOP_PORTAL_PATH])
+            except FileNotFoundError:
+                raise unittest.SkipTest("xdg-desktop-portal not available")
 
-        try:
-            self.wait_for_bus_object('org.freedesktop.portal.Desktop',
-                                     '/org/freedesktop/portal/desktop')
-        except:
-            raise
-        # subprocess.Popen(['gdbus', 'monitor', '--session', '--dest', 'org.freedesktop.portal.Desktop'])
+            try:
+                self.wait_for_bus_object('org.freedesktop.portal.Desktop',
+                                        '/org/freedesktop/portal/desktop')
+            except:
+                raise
+            # subprocess.Popen(['gdbus', 'monitor', '--session', '--dest', 'org.freedesktop.portal.Desktop'])
 
-        os.environ['GTK_USE_PORTAL'] = "1"
-        self.memory_monitor = Gio.MemoryMonitor.dup_default()
-        assert("GMemoryMonitorPortal" in str(self.memory_monitor))
-        self.memory_monitor.connect("low-memory-warning", self.portal_memory_warning_cb)
-        self.mainloop = GLib.MainLoop()
-        self.main_context = self.mainloop.get_context()
+            os.environ['GTK_USE_PORTAL'] = "1"
+            self.memory_monitor = Gio.MemoryMonitor.dup_default()
+            assert("GMemoryMonitorPortal" in str(self.memory_monitor))
+            self.memory_monitor.connect("low-memory-warning", self.portal_memory_warning_cb)
+            self.mainloop = GLib.MainLoop()
+            self.main_context = self.mainloop.get_context()
 
-    def tearDown(self):
-        self.p_mock.terminate()
-        self.p_mock.wait()
+        def tearDown(self):
+            self.p_mock.terminate()
+            self.p_mock.wait()
 
-    def portal_memory_warning_cb(self, monitor, level):
-        self.last_warning = level
-        self.main_context.wakeup()
+        def portal_memory_warning_cb(self, monitor, level):
+            self.last_warning = level
+            self.main_context.wakeup()
 
-    def test_low_memory_warning_portal_signal(self):
-        '''LowMemoryWarning signal'''
+        def test_low_memory_warning_portal_signal(self):
+            '''LowMemoryWarning signal'''
 
-        # Wait 2 seconds
-        timeout = 2
-        while timeout > 0:
-            time.sleep(0.5)
-            timeout -= 0.5
-            self.main_context.iteration(False)
+            # Wait 2 seconds
+            timeout = 2
+            while timeout > 0:
+                time.sleep(0.5)
+                timeout -= 0.5
+                self.main_context.iteration(False)
 
-        self.dbusmock.EmitWarning(100)
-        # Wait 2 seconds or until warning
-        timeout = 2
-        while timeout > 0 and self.last_warning != 100:
-            time.sleep(0.5)
-            timeout -= 0.5
-            self.main_context.iteration(False)
-        self.assertEqual(self.last_warning, 100)
+            self.dbusmock.EmitWarning(100)
+            # Wait 2 seconds or until warning
+            timeout = 2
+            while timeout > 0 and self.last_warning != 100:
+                time.sleep(0.5)
+                timeout -= 0.5
+                self.main_context.iteration(False)
+            self.assertEqual(self.last_warning, 100)
 
-        self.dbusmock.EmitWarning(255)
-        # Wait 2 seconds or until warning
-        timeout = 2
-        while timeout > 0 and self.last_warning != 255:
-            time.sleep(0.5)
-            timeout -= 0.5
-            self.main_context.iteration(False)
-        self.assertEqual(self.last_warning, 255)
+            self.dbusmock.EmitWarning(255)
+            # Wait 2 seconds or until warning
+            timeout = 2
+            while timeout > 0 and self.last_warning != 255:
+                time.sleep(0.5)
+                timeout -= 0.5
+                self.main_context.iteration(False)
+            self.assertEqual(self.last_warning, 255)
 
+except ImportError as e:
+    @unittest.skip("Cannot import %s" % e.name)
+    class TestLowMemoryMonitorPortal(unittest.TestCase):
+        def test_low_memory_warning_portal_signal(self):
+            pass
 
 if __name__ == '__main__':
     unittest.main(testRunner=taptestrunner.TAPTestRunner())