diff --git a/CHANGELOG.md b/CHANGELOG.md
index 7d5da8a5163..061f5f53d3a 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -19,6 +19,9 @@ This project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.htm
 ### Fixed
 
 - Change the `http-server-duration` instrument in `go.opentelemetry.io/contrib/instrumentation/net/http/otelhttp` to record milliseconds instead of microseconds match what is specified in the OpenTelemetry specification. (#1414, #1537)
+- The `"go.opentelemetry.io/contrib/instrumentation/net/http/otelhttp".Transport` type now correctly handles protocol switching responses.
+  The returned response body implements the `io.ReadWriteCloser` interface if the underlying one does.
+  This ensures that protocol switching requests receive a response body that they can write to. (#1329, #1628)
 
 ### Removed
 
diff --git a/instrumentation/net/http/otelhttp/transport.go b/instrumentation/net/http/otelhttp/transport.go
index c9d2de2835d..121ad99b0a6 100644
--- a/instrumentation/net/http/otelhttp/transport.go
+++ b/instrumentation/net/http/otelhttp/transport.go
@@ -123,18 +123,51 @@ func (t *Transport) RoundTrip(r *http.Request) (*http.Response, error) {
 
 	span.SetAttributes(semconv.HTTPAttributesFromHTTPStatusCode(res.StatusCode)...)
 	span.SetStatus(semconv.SpanStatusFromHTTPStatusCode(res.StatusCode))
-	res.Body = &wrappedBody{ctx: ctx, span: span, body: res.Body}
+	res.Body = newWrappedBody(span, res.Body)
 
 	return res, err
 }
 
+// newWrappedBody returns a new and appropriately scoped *wrappedBody as an
+// io.ReadCloser. If the passed body implements io.Writer, the returned value
+// will implement io.ReadWriteCloser.
+func newWrappedBody(span trace.Span, body io.ReadCloser) io.ReadCloser {
+	// The successful protocol switch responses will have a body that
+	// implement an io.ReadWriteCloser. Ensure this interface type continues
+	// to be satisfied if that is the case.
+	if _, ok := body.(io.ReadWriteCloser); ok {
+		return &wrappedBody{span: span, body: body}
+	}
+
+	// Remove the implementation of the io.ReadWriteCloser and only implement
+	// the io.ReadCloser.
+	return struct{ io.ReadCloser }{&wrappedBody{span: span, body: body}}
+}
+
+// wrappedBody is the response body type returned by the transport
+// instrumentation to complete a span. Errors encountered when using the
+// response body are recorded in span tracking the response.
+//
+// The span tracking the response is ended when this body is closed.
+//
+// If the response body implements the io.Writer interface (i.e. for
+// successful protocol switches), the wrapped body also will.
 type wrappedBody struct {
-	ctx  context.Context
 	span trace.Span
 	body io.ReadCloser
 }
 
-var _ io.ReadCloser = &wrappedBody{}
+var _ io.ReadWriteCloser = &wrappedBody{}
+
+func (wb *wrappedBody) Write(p []byte) (int, error) {
+	// This will not panic given the guard in newWrappedBody.
+	n, err := wb.body.(io.Writer).Write(p)
+	if err != nil {
+		wb.span.RecordError(err)
+		wb.span.SetStatus(codes.Error, err.Error())
+	}
+	return n, err
+}
 
 func (wb *wrappedBody) Read(b []byte) (int, error) {
 	n, err := wb.body.Read(b)
diff --git a/instrumentation/net/http/otelhttp/transport_test.go b/instrumentation/net/http/otelhttp/transport_test.go
index eed7581c18d..e155d3e088f 100644
--- a/instrumentation/net/http/otelhttp/transport_test.go
+++ b/instrumentation/net/http/otelhttp/transport_test.go
@@ -22,9 +22,11 @@ import (
 	"io/ioutil"
 	"net/http"
 	"net/http/httptest"
+	"strings"
 	"testing"
 
 	"github.com/stretchr/testify/assert"
+	"github.com/stretchr/testify/require"
 
 	"go.opentelemetry.io/otel/codes"
 	"go.opentelemetry.io/otel/propagation"
@@ -286,3 +288,90 @@ func TestWrappedBodyCloseError(t *testing.T) {
 	assert.Equal(t, expectedErr, wb.Close())
 	s.assert(t, true, nil, codes.Unset, "")
 }
+
+type readWriteCloser struct {
+	readCloser
+
+	writeErr error
+}
+
+const writeSize = 1
+
+func (rwc readWriteCloser) Write([]byte) (int, error) {
+	return writeSize, rwc.writeErr
+}
+
+func TestNewWrappedBodyReadWriteCloserImplementation(t *testing.T) {
+	wb := newWrappedBody(nil, readWriteCloser{})
+	assert.Implements(t, (*io.ReadWriteCloser)(nil), wb)
+}
+
+func TestNewWrappedBodyReadCloserImplementation(t *testing.T) {
+	wb := newWrappedBody(nil, readCloser{})
+	assert.Implements(t, (*io.ReadCloser)(nil), wb)
+
+	_, ok := wb.(io.ReadWriteCloser)
+	assert.False(t, ok, "wrappedBody should not implement io.ReadWriteCloser")
+}
+
+func TestWrappedBodyWrite(t *testing.T) {
+	s := new(span)
+	var rwc io.ReadWriteCloser
+	assert.NotPanics(t, func() {
+		rwc = newWrappedBody(s, readWriteCloser{}).(io.ReadWriteCloser)
+	})
+
+	n, err := rwc.Write([]byte{})
+	assert.Equal(t, writeSize, n, "wrappedBody returned wrong bytes")
+	assert.NoError(t, err)
+	s.assert(t, false, nil, codes.Unset, "")
+}
+
+func TestWrappedBodyWriteError(t *testing.T) {
+	s := new(span)
+	expectedErr := errors.New("test")
+	var rwc io.ReadWriteCloser
+	assert.NotPanics(t, func() {
+		rwc = newWrappedBody(s, readWriteCloser{
+			writeErr: expectedErr,
+		}).(io.ReadWriteCloser)
+	})
+	n, err := rwc.Write([]byte{})
+	assert.Equal(t, writeSize, n, "wrappedBody returned wrong bytes")
+	assert.ErrorIs(t, err, expectedErr)
+	s.assert(t, false, expectedErr, codes.Error, expectedErr.Error())
+}
+
+func TestTransportProtocolSwitch(t *testing.T) {
+	// This test validates the fix to #1329.
+
+	// Simulate a "101 Switching Protocols" response from the test server.
+	response := []byte(strings.Join([]string{
+		"HTTP/1.1 101 Switching Protocols",
+		"Upgrade: WebSocket",
+		"Connection: Upgrade",
+		"", "", // Needed for extra CRLF.
+	}, "\r\n"))
+
+	ts := httptest.NewServer(http.HandlerFunc(func(w http.ResponseWriter, _ *http.Request) {
+		conn, buf, err := w.(http.Hijacker).Hijack()
+		require.NoError(t, err)
+
+		_, err = buf.Write(response)
+		require.NoError(t, err)
+		require.NoError(t, buf.Flush())
+		require.NoError(t, conn.Close())
+	}))
+	defer ts.Close()
+
+	ctx := context.Background()
+	r, err := http.NewRequestWithContext(ctx, http.MethodGet, ts.URL, http.NoBody)
+	require.NoError(t, err)
+
+	c := http.Client{Transport: NewTransport(http.DefaultTransport)}
+	res, err := c.Do(r)
+	require.NoError(t, err)
+	t.Cleanup(func() { require.NoError(t, res.Body.Close()) })
+
+	assert.Implements(t, (*io.ReadWriteCloser)(nil), res.Body, "invalid body returned for protocol switch")
+}