diff --git a/src/net/url/url_test.go b/src/net/url/url_test.go
index da022f20d4..b1c3ceb0b7 100644
--- a/src/net/url/url_test.go
+++ b/src/net/url/url_test.go
@@ -511,6 +511,16 @@ var urltests = []URLTest{
 		},
 		"",
 	},
+	// golang.org/issue/10433 (path beginning with //)
+	{
+		"http://example.com//foo",
+		&URL{
+			Scheme: "http",
+			Host:   "example.com",
+			Path:   "//foo",
+		},
+		"",
+	},
 }
 
 // more useful string for debugging than fmt's struct printer
@@ -1178,6 +1188,14 @@ var requritests = []RequestURITest{
 		},
 		"opaque?q=go+language",
 	},
+	{
+		&URL{
+			Scheme: "http",
+			Host:   "example.com",
+			Path:   "//foo",
+		},
+		"//foo",
+	},
 }
 
 func TestRequestURI(t *testing.T) {