diff --git a/h2quic/roundtrip.go b/h2quic/roundtrip.go
index 43c9f23a..51d5b423 100644
--- a/h2quic/roundtrip.go
+++ b/h2quic/roundtrip.go
@@ -1,6 +1,7 @@
 package h2quic
 
 import (
+	"errors"
 	"net/http"
 	"sync"
 )
@@ -30,6 +31,19 @@ var _ http.RoundTripper = &QuicRoundTripper{}
 
 // RoundTrip does a round trip
 func (r *QuicRoundTripper) RoundTrip(req *http.Request) (*http.Response, error) {
+	if req.URL == nil {
+		closeRequestBody(req)
+		return nil, errors.New("quic: nil Request.URL")
+	}
+	if req.URL.Host == "" {
+		closeRequestBody(req)
+		return nil, errors.New("quic: no Host in request URL")
+	}
+	if req.Header == nil {
+		closeRequestBody(req)
+		return nil, errors.New("quic: nil Request.Header")
+	}
+
 	hostname := authorityAddr("https", hostnameFromRequest(req))
 	client, err := r.getClient(hostname)
 	if err != nil {
@@ -61,3 +75,9 @@ func (r *QuicRoundTripper) getClient(hostname string) (h2quicClient, error) {
 func (r *QuicRoundTripper) disableCompression() bool {
 	return r.DisableCompression
 }
+
+func closeRequestBody(req *http.Request) {
+	if req.Body != nil {
+		req.Body.Close()
+	}
+}
diff --git a/h2quic/roundtrip_test.go b/h2quic/roundtrip_test.go
index cb038b97..6ff4aca5 100644
--- a/h2quic/roundtrip_test.go
+++ b/h2quic/roundtrip_test.go
@@ -13,6 +13,19 @@ func (m *mockQuicRoundTripper) Do(req *http.Request) (*http.Response, error) {
 	return &http.Response{Request: req}, nil
 }
 
+type mockBody struct {
+	closed bool
+}
+
+func (m *mockBody) Read([]byte) (int, error) {
+	panic("not implemented")
+}
+
+func (m *mockBody) Close() error {
+	m.closed = true
+	return nil
+}
+
 var _ = Describe("RoundTripper", func() {
 	var (
 		rt   *QuicRoundTripper
@@ -26,6 +39,34 @@ var _ = Describe("RoundTripper", func() {
 		Expect(err).ToNot(HaveOccurred())
 	})
 
+	It("rejects requests without a URL", func() {
+		req1.URL = nil
+		_, err := rt.RoundTrip(req1)
+		Expect(err).To(MatchError("quic: nil Request.URL"))
+	})
+
+	It("rejects request without a URL Host", func() {
+		req1.URL.Host = ""
+		req1.Body = &mockBody{}
+		_, err := rt.RoundTrip(req1)
+		Expect(err).To(MatchError("quic: no Host in request URL"))
+		Expect(req1.Body.(*mockBody).closed).To(BeTrue())
+	})
+
+	It("closes the body for rejected requests", func() {
+		req1.URL = nil
+		req1.Body = &mockBody{}
+		_, err := rt.RoundTrip(req1)
+		Expect(err).To(MatchError("quic: nil Request.URL"))
+		Expect(req1.Body.(*mockBody).closed).To(BeTrue())
+	})
+
+	It("rejects requests without a header", func() {
+		req1.Header = nil
+		_, err := rt.RoundTrip(req1)
+		Expect(err).To(MatchError("quic: nil Request.Header"))
+	})
+
 	It("reuses existing clients", func() {
 		rt.clients = make(map[string]h2quicClient)
 		rt.clients["www.example.org:443"] = &mockQuicRoundTripper{}