diff --git a/src/go.mod b/src/go.mod
index 798677b..17fc364 100644
--- a/src/go.mod
+++ b/src/go.mod
@@ -4,7 +4,7 @@
 
 require (
 	golang.org/x/crypto v0.0.0-20201016220609-9e8e0b390897
-	golang.org/x/net v0.0.0-20210428183300-3f4a416c7d3b
+	golang.org/x/net v0.0.0-20210901185431-d2e9a4ea682f
 	golang.org/x/sys v0.0.0-20201204225414-ed752295db88 // indirect
 	golang.org/x/text v0.3.4 // indirect
 )
diff --git a/src/go.sum b/src/go.sum
index f38b3c3..cea3ab4 100644
--- a/src/go.sum
+++ b/src/go.sum
@@ -2,8 +2,8 @@
 golang.org/x/crypto v0.0.0-20201016220609-9e8e0b390897 h1:pLI5jrR7OSLijeIDcmRxNmw2api+jEfxLoykJVice/E=
 golang.org/x/crypto v0.0.0-20201016220609-9e8e0b390897/go.mod h1:LzIPMQfyMNhhGPhUkYOs5KpL4U8rLKemX1yGLhDgUto=
 golang.org/x/net v0.0.0-20190404232315-eb5bcb51f2a3/go.mod h1:t9HGtf8HONx5eT2rtn7q6eTqICYqUVnKs3thJo3Qplg=
-golang.org/x/net v0.0.0-20210428183300-3f4a416c7d3b h1:SQCMv1JDt7RN/Vp0bjtNMSufVVHgpFVzmDFdCLL31yY=
-golang.org/x/net v0.0.0-20210428183300-3f4a416c7d3b/go.mod h1:m0MpNAwzfU5UDzcl9v0D8zg8gWTRqZa9RBIspLL5mdg=
+golang.org/x/net v0.0.0-20210901185431-d2e9a4ea682f h1:pkBhRt1hlsctT9xYRDknb4y+e/yiacRWlnft5a4QH8Y=
+golang.org/x/net v0.0.0-20210901185431-d2e9a4ea682f/go.mod h1:m0MpNAwzfU5UDzcl9v0D8zg8gWTRqZa9RBIspLL5mdg=
 golang.org/x/sys v0.0.0-20190215142949-d0b11bdaac8a/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY=
 golang.org/x/sys v0.0.0-20190412213103-97732733099d/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
 golang.org/x/sys v0.0.0-20201119102817-f84b799fce68/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
diff --git a/src/net/http/h2_bundle.go b/src/net/http/h2_bundle.go
index 6bef310..22f1e78 100644
--- a/src/net/http/h2_bundle.go
+++ b/src/net/http/h2_bundle.go
@@ -4435,6 +4435,15 @@
 		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 b18d366..061e0ac 100644
--- a/src/vendor/modules.txt
+++ b/src/vendor/modules.txt
@@ -8,7 +8,7 @@
 golang.org/x/crypto/hkdf
 golang.org/x/crypto/internal/subtle
 golang.org/x/crypto/poly1305
-# golang.org/x/net v0.0.0-20210428183300-3f4a416c7d3b
+# golang.org/x/net v0.0.0-20210901185431-d2e9a4ea682f
 ## explicit
 golang.org/x/net/dns/dnsmessage
 golang.org/x/net/http/httpguts