diff --git a/test/test-execute/exec-privatenetwork-yes.service b/test/test-execute/exec-privatenetwork-yes.service
index a38d24912f..ded8d55126 100644
--- a/test/test-execute/exec-privatenetwork-yes.service
+++ b/test/test-execute/exec-privatenetwork-yes.service
@@ -2,6 +2,6 @@
 Description=Test for PrivateNetwork
 
 [Service]
-ExecStart=/bin/sh -x -c '! ip link | grep ": " | grep -Ev ": (lo|sit0@.*):"'
+ExecStart=/bin/sh -x -c '! ip link | grep ": " | grep -Ev ": (lo|(sit0|ip6tnl0|ip6gre0)@.*):"'
 Type=oneshot
 PrivateNetwork=yes