diff --git a/test/test-execute/exec-privatenetwork-yes.service b/test/test-execute/exec-privatenetwork-yes.service
index ded8d55126..8f5cbadf04 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|ip6tnl0|ip6gre0)@.*):"'
+ExecStart=/bin/sh -x -c '! ip link | grep -E "^[0-9]+: " | grep -Ev ": (lo|(erspan|gre|gretap|ip_vti|ip6_vti|ip6gre|ip6tnl|sit|tunl)0@.*):"'
 Type=oneshot
 PrivateNetwork=yes