diff --git a/xdg-desktop-portal-gtk.spec b/xdg-desktop-portal-gtk.spec
index 4d6f1ff..0eb523e 100644
--- a/xdg-desktop-portal-gtk.spec
+++ b/xdg-desktop-portal-gtk.spec
@@ -21,6 +21,11 @@ Requires:       dbus
 Requires:       gsettings-desktop-schemas
 Requires:       xdg-desktop-portal >= %{xdg_desktop_portal_version}
 
+# https://fedoraproject.org/wiki/Changes/EncourageI686LeafRemoval
+# also, ostree (and hence flatpak) not on i686 for F40/EL10
+# https://github.com/containers/composefs/pull/229#issuecomment-1838735764
+ExcludeArch:    %{ix86}
+
 # 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.)