diff --git a/no-pygtkcompat.patch b/no-pygtkcompat.patch
new file mode 100644
index 0000000..9beb80c
--- /dev/null
+++ b/no-pygtkcompat.patch
@@ -0,0 +1,18 @@
+diff -ur Twisted-18.7.0.orig/src/twisted/internet/gireactor.py Twisted-18.7.0/src/twisted/internet/gireactor.py
+--- Twisted-18.7.0.orig/src/twisted/internet/gireactor.py	2018-03-26 10:19:31.000000000 +0200
++++ Twisted-18.7.0/src/twisted/internet/gireactor.py	2018-10-04 01:41:32.547220235 +0200
+@@ -75,8 +75,12 @@
+     # Newer version of gi, so we can try to initialize compatibility layer; if
+     # real pygtk was already imported we'll get ImportError at this point
+     # rather than segfault, so unconditional import is fine.
+-    import gi.pygtkcompat
+-    gi.pygtkcompat.enable()
++    try:
++        import gi.pygtkcompat
++    except ImportError:
++        pass # This is probably Python 3, with pygtkcompat removed
++    else:
++        gi.pygtkcompat.enable()
+     # At this point importing gobject will get you gi version, and importing
+     # e.g. gtk will either fail in non-segfaulty way or use gi version if user
+     # does gi.pygtkcompat.enable_gtk(). So, no need to prevent imports of
diff --git a/python-Twisted.changes b/python-Twisted.changes
index ad9cc04..8dee6fc 100644
--- a/python-Twisted.changes
+++ b/python-Twisted.changes
@@ -1,3 +1,8 @@
+-------------------------------------------------------------------
+Thu Nov  8 10:28:09 CET 2018 - mcepl@suse.com
+
+- Add no-pygtkcompat.patch to avoid dependency on Gtk (boo#1110669)
+
 -------------------------------------------------------------------
 Thu Nov  1 09:21:03 UTC 2018 - Tomáš Chvátal <tchvatal@suse.com>
 
diff --git a/python-Twisted.spec b/python-Twisted.spec
index 772cd55..052b517 100644
--- a/python-Twisted.spec
+++ b/python-Twisted.spec
@@ -29,6 +29,7 @@ URL:            http://twistedmatrix.com/
 Source:         https://files.pythonhosted.org/packages/source/T/Twisted/%{modname}-%{version}.tar.bz2
 Patch1:         skip_MultiCast.patch
 Patch2:         openssl111.patch
+Patch3:         no-pygtkcompat.patch
 BuildRequires:  %{python_module Automat >= 0.3.0}
 BuildRequires:  %{python_module PyHamcrest >= 1.9.0}
 BuildRequires:  %{python_module appdirs >= 1.4.0}