diff --git a/python-helpdev.changes b/python-helpdev.changes
index 2127d01..a7e7cf0 100644
--- a/python-helpdev.changes
+++ b/python-helpdev.changes
@@ -1,3 +1,10 @@
+-------------------------------------------------------------------
+Tue May 26 07:33:07 UTC 2020 - Antonio Larrosa <alarrosa@suse.com>
+
+- python-psutil is only used to call its "swap_memory" and
+  "virtual_memory" functions, so we reduced the required version
+  from 5.6 to 5.4.8 so we can build packages for SLE/Leap.
+
 -------------------------------------------------------------------
 Mon May 25 10:59:16 UTC 2020 - Petr Gajdos <pgajdos@suse.com>
 
diff --git a/python-helpdev.spec b/python-helpdev.spec
index 7869e83..cbcd0cb 100644
--- a/python-helpdev.spec
+++ b/python-helpdev.spec
@@ -29,13 +29,13 @@ BuildRequires:  %{python_module setuptools}
 BuildRequires:  fdupes
 BuildRequires:  python-rpm-macros
 Requires:       python-importlib-metadata
-Requires:       python-psutil >= 5.6
+Requires:       python-psutil >= 5.4.8
 Requires(post): update-alternatives
 Requires(postun): update-alternatives
 BuildArch:      noarch
 # SECTION test requirements
 BuildRequires:  %{python_module importlib-metadata}
-BuildRequires:  %{python_module psutil >= 5.6}
+BuildRequires:  %{python_module psutil >= 5.4.8}
 BuildRequires:  %{python_module pytest}
 # /SECTION
 %python_subpackages
@@ -46,6 +46,7 @@ HelpDev - Extracts information about the Python environment easily.
 %prep
 %setup -q -n helpdev-v%{version}
 sed -i '1{\,^#!%{_bindir}/env python,d}' helpdev/*.py
+sed -i -e "s/psutil>=5.6/psutil>=5.4.8/" setup.py
 
 %build
 %python_build