diff --git a/src/net/lookup_plan9.go b/src/net/lookup_plan9.go
index 11f2349afe..f81e220fc8 100644
--- a/src/net/lookup_plan9.go
+++ b/src/net/lookup_plan9.go
@@ -198,6 +198,10 @@ func (*Resolver) lookupPort(ctx context.Context, network, service string) (port
 func (*Resolver) lookupCNAME(ctx context.Context, name string) (cname string, err error) {
 	lines, err := queryDNS(ctx, name, "cname")
 	if err != nil {
+		if stringsHasSuffix(err.Error(), "dns failure") {
+			cname = name + "."
+			err = nil
+		}
 		return
 	}
 	if len(lines) > 0 {