diff --git a/src/go.mod b/src/go.mod
index 379dcf504e531..a89afcc101bc8 100644
--- a/src/go.mod
+++ b/src/go.mod
@@ -4,7 +4,7 @@ go 1.17
 
 require (
 	golang.org/x/crypto v0.0.0-20210503195802-e9a32991a82e
-	golang.org/x/net v0.0.0-20210510120150-4163338589ed
+	golang.org/x/net v0.0.0-20210901185426-6d2eada6345e
 	golang.org/x/sys v0.0.0-20210511113859-b0526f3d8744 // indirect
 	golang.org/x/text v0.3.7-0.20210503195748-5c7c50ebbd4f // indirect
 )
diff --git a/src/go.sum b/src/go.sum
index 6e869b96f711b..09d5dddfedbb3 100644
--- a/src/go.sum
+++ b/src/go.sum
@@ -1,8 +1,8 @@
 golang.org/x/crypto v0.0.0-20210503195802-e9a32991a82e h1:8foAy0aoO5GkqCvAEJ4VC4P3zksTg4X4aJCDpZzmgQI=
 golang.org/x/crypto v0.0.0-20210503195802-e9a32991a82e/go.mod h1:P+XmwS30IXTQdn5tA2iutPOUgjI07+tq3H3K9MVA1s8=
 golang.org/x/net v0.0.0-20210226172049-e18ecbb05110/go.mod h1:m0MpNAwzfU5UDzcl9v0D8zg8gWTRqZa9RBIspLL5mdg=
-golang.org/x/net v0.0.0-20210510120150-4163338589ed h1:p9UgmWI9wKpfYmgaV/IZKGdXc5qEK45tDwwwDyjS26I=
-golang.org/x/net v0.0.0-20210510120150-4163338589ed/go.mod h1:9nx3DQGgdP8bBQD5qxJ1jj9UTztislL4KSBs9R2vV5Y=
+golang.org/x/net v0.0.0-20210901185426-6d2eada6345e h1:50pLUXxddAhYigPZvsrMVrd+113EKnh8VVRKuSaRviw=
+golang.org/x/net v0.0.0-20210901185426-6d2eada6345e/go.mod h1:9nx3DQGgdP8bBQD5qxJ1jj9UTztislL4KSBs9R2vV5Y=
 golang.org/x/sys v0.0.0-20201119102817-f84b799fce68/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
 golang.org/x/sys v0.0.0-20210423082822-04245dca01da/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
 golang.org/x/sys v0.0.0-20210511113859-b0526f3d8744 h1:yhBbb4IRs2HS9PPlAg6DMC6mUOKexJBNsLf4Z+6En1Q=
diff --git a/src/net/http/h2_bundle.go b/src/net/http/h2_bundle.go
index a948ff3eed4af..3445cf550f392 100644
--- a/src/net/http/h2_bundle.go
+++ b/src/net/http/h2_bundle.go
@@ -4519,6 +4519,15 @@ func (sc *http2serverConn) serve() {
 		case res := <-sc.wroteFrameCh:
 			sc.wroteFrame(res)
 		case res := <-sc.readFrameCh:
+			// Process any written frames before reading new frames from the client since a
+			// written frame could have triggered a new stream to be started.
+			if sc.writingFrameAsync {
+				select {
+				case wroteRes := <-sc.wroteFrameCh:
+					sc.wroteFrame(wroteRes)
+				default:
+				}
+			}
 			if !sc.processFrameFromReader(res) {
 				return
 			}
diff --git a/src/vendor/modules.txt b/src/vendor/modules.txt
index ff01db5cdc77f..70d42ed32c6ba 100644
--- a/src/vendor/modules.txt
+++ b/src/vendor/modules.txt
@@ -8,7 +8,7 @@ golang.org/x/crypto/curve25519
 golang.org/x/crypto/hkdf
 golang.org/x/crypto/internal/subtle
 golang.org/x/crypto/poly1305
-# golang.org/x/net v0.0.0-20210510120150-4163338589ed
+# golang.org/x/net v0.0.0-20210901185426-6d2eada6345e
 ## explicit; go 1.17
 golang.org/x/net/dns/dnsmessage
 golang.org/x/net/http/httpguts