diff --git a/xdg-desktop-portal-gtk.spec b/xdg-desktop-portal-gtk.spec
index c8bf310..3313778 100644
--- a/xdg-desktop-portal-gtk.spec
+++ b/xdg-desktop-portal-gtk.spec
@@ -21,10 +21,12 @@ BuildRequires:  systemd-rpm-macros
 Requires:       dbus
 Requires:       gsettings-desktop-schemas
 Requires:       xdg-desktop-portal >= %{xdg_desktop_portal_version}
-%if 0%{?fedora}
-# Use rich deps to pull in this package when gtk3 and flatpak (or snapd) are both installed
-Supplements:    (gtk3 and (flatpak or snapd))
-%endif
+
+# This portal is recommended if you have installed any app that uses GTK. (It's
+# also recommended if you have any such app installed via flatpak or snap, but
+# that is impossible to detect here.)
+Supplements:    gtk3
+Supplements:    gtk4
 
 %description
 A backend implementation for xdg-desktop-portal that is using GTK+.