diff --git a/src/net/lookup_test.go b/src/net/lookup_test.go
index ccc25c0bd9..6268f3f6fc 100644
--- a/src/net/lookup_test.go
+++ b/src/net/lookup_test.go
@@ -71,6 +71,10 @@ var lookupGoogleSRVTests = []struct {
 var backoffDuration = [...]time.Duration{time.Second, 5 * time.Second, 30 * time.Second}
 
 func TestLookupGoogleSRV(t *testing.T) {
+	// TODO(mknyszek): Figure out next steps for this test. This is just
+	// a quick fix.
+	t.Skip("fails consistently due to an upstream DNS change; see #56707.")
+
 	t.Parallel()
 	mustHaveExternalNetwork(t)
 
@@ -633,6 +637,10 @@ func TestLookupDotsWithLocalSource(t *testing.T) {
 }
 
 func TestLookupDotsWithRemoteSource(t *testing.T) {
+	// TODO(mknyszek): Figure out next steps for this test. This is just
+	// a quick fix.
+	t.Skip("fails consistently due to an upstream DNS change; see #56707.")
+
 	if runtime.GOOS == "darwin" || runtime.GOOS == "ios" {
 		testenv.SkipFlaky(t, 27992)
 	}