diff --git a/http2/h2c/h2c.go b/http2/h2c/h2c.go
index 07c5c9a..16319b8 100644
--- a/http2/h2c/h2c.go
+++ b/http2/h2c/h2c.go
@@ -84,14 +84,20 @@
 		}
 		defer conn.Close()
 
-		s.s.ServeConn(conn, &http2.ServeConnOpts{Handler: s.Handler})
+		s.s.ServeConn(conn, &http2.ServeConnOpts{
+			Context: r.Context(),
+			Handler: s.Handler,
+		})
 		return
 	}
 	// Handle Upgrade to h2c (RFC 7540 Section 3.2)
 	if conn, err := h2cUpgrade(w, r); err == nil {
 		defer conn.Close()
 
-		s.s.ServeConn(conn, &http2.ServeConnOpts{Handler: s.Handler})
+		s.s.ServeConn(conn, &http2.ServeConnOpts{
+			Context: r.Context(),
+			Handler: s.Handler,
+		})
 		return
 	}
 
diff --git a/http2/h2c/h2c_test.go b/http2/h2c/h2c_test.go
index 57aadc0..bd9461e 100644
--- a/http2/h2c/h2c_test.go
+++ b/http2/h2c/h2c_test.go
@@ -7,9 +7,14 @@
 import (
 	"bufio"
 	"bytes"
+	"context"
+	"crypto/tls"
 	"fmt"
+	"io/ioutil"
 	"log"
+	"net"
 	"net/http"
+	"net/http/httptest"
 	"testing"
 
 	"golang.org/x/net/http2"
@@ -56,3 +61,46 @@
 	}
 	log.Fatal(h1s.ListenAndServe())
 }
+
+func TestContext(t *testing.T) {
+	baseCtx := context.WithValue(context.Background(), "testkey", "testvalue")
+
+	handler := http.HandlerFunc(func(w http.ResponseWriter, r *http.Request) {
+		if r.ProtoMajor != 2 {
+			t.Errorf("Request wasn't handled by h2c.  Got ProtoMajor=%v", r.ProtoMajor)
+		}
+		if r.Context().Value("testkey") != "testvalue" {
+			t.Errorf("Request doesn't have expected base context: %v", r.Context())
+		}
+		fmt.Fprint(w, "Hello world")
+	})
+
+	h2s := &http2.Server{}
+	h1s := httptest.NewUnstartedServer(NewHandler(handler, h2s))
+	h1s.Config.BaseContext = func(_ net.Listener) context.Context {
+		return baseCtx
+	}
+	h1s.Start()
+	defer h1s.Close()
+
+	client := &http.Client{
+		Transport: &http2.Transport{
+			AllowHTTP: true,
+			DialTLS: func(network, addr string, _ *tls.Config) (net.Conn, error) {
+				return net.Dial(network, addr)
+			},
+		},
+	}
+
+	resp, err := client.Get(h1s.URL)
+	if err != nil {
+		t.Fatal(err)
+	}
+	_, err = ioutil.ReadAll(resp.Body)
+	if err != nil {
+		t.Fatal(err)
+	}
+	if err := resp.Body.Close(); err != nil {
+		t.Fatal(err)
+	}
+}