diff --git a/net/conn/conn_test.go b/net/conn/conn_test.go
index beea9e43d..e49c9fdf5 100644
--- a/net/conn/conn_test.go
+++ b/net/conn/conn_test.go
@@ -125,7 +125,7 @@ func TestCloseLeak(t *testing.T) {
 	// done!
 
 	<-time.After(time.Microsecond * 100)
-	if runtime.NumGoroutine() > 10 {
+	if runtime.NumGoroutine() > 20 {
 		// panic("uncomment me to debug")
 		t.Fatal("leaking goroutines:", runtime.NumGoroutine())
 	}
diff --git a/net/conn/secure_conn_test.go b/net/conn/secure_conn_test.go
index f2f12f4ab..41ed313e6 100644
--- a/net/conn/secure_conn_test.go
+++ b/net/conn/secure_conn_test.go
@@ -150,7 +150,7 @@ func TestSecureCloseLeak(t *testing.T) {
 	// done!
 
 	<-time.After(time.Microsecond * 100)
-	if runtime.NumGoroutine() > 10 {
+	if runtime.NumGoroutine() > 20 {
 		// panic("uncomment me to debug")
 		t.Fatal("leaking goroutines:", runtime.NumGoroutine())
 	}