diff --git a/session.go b/session.go
index 63fd72cf..eb104299 100644
--- a/session.go
+++ b/session.go
@@ -596,24 +596,26 @@ runLoop:
 					break runLoop
 				default:
 				}
-				// Now process all packets in the receivedPackets channel.
-				// Limit the number of packets to the length of the receivedPackets channel,
-				// so we eventually get a chance to send out an ACK when receiving a lot of packets.
-				numPackets := len(s.receivedPackets)
-			receiveLoop:
-				for i := 0; i < numPackets; i++ {
-					select {
-					case p := <-s.receivedPackets:
-						if processed := s.handlePacketImpl(p); processed {
-							wasProcessed = true
-						}
+				if s.handshakeComplete {
+					// Now process all packets in the receivedPackets channel.
+					// Limit the number of packets to the length of the receivedPackets channel,
+					// so we eventually get a chance to send out an ACK when receiving a lot of packets.
+					numPackets := len(s.receivedPackets)
+				receiveLoop:
+					for i := 0; i < numPackets; i++ {
 						select {
-						case closeErr = <-s.closeChan:
-							break runLoop
+						case p := <-s.receivedPackets:
+							if processed := s.handlePacketImpl(p); processed {
+								wasProcessed = true
+							}
+							select {
+							case closeErr = <-s.closeChan:
+								break runLoop
+							default:
+							}
 						default:
+							break receiveLoop
 						}
-					default:
-						break receiveLoop
 					}
 				}
 				// Only reset the timers if this packet was actually processed.
diff --git a/session_test.go b/session_test.go
index 859d276e..5e8cb97b 100644
--- a/session_test.go
+++ b/session_test.go
@@ -902,6 +902,51 @@ var _ = Describe("Session", func() {
 			Eventually(sess.Context().Done()).Should(BeClosed())
 		})
 
+		It("doesn't processes multiple received packets before sending one before handshake completion", func() {
+			sess.handshakeComplete = false
+			sess.sessionCreationTime = time.Now()
+			var pn protocol.PacketNumber
+			unpacker.EXPECT().Unpack(gomock.Any(), gomock.Any(), gomock.Any()).DoAndReturn(func(hdr *wire.Header, rcvTime time.Time, data []byte) (*unpackedPacket, error) {
+				pn++
+				return &unpackedPacket{
+					data:            []byte{0}, // PADDING frame
+					encryptionLevel: protocol.Encryption1RTT,
+					packetNumber:    pn,
+					hdr:             &wire.ExtendedHeader{Header: *hdr},
+				}, nil
+			}).Times(3)
+			tracer.EXPECT().StartedConnection(gomock.Any(), gomock.Any(), gomock.Any(), gomock.Any(), gomock.Any())
+			tracer.EXPECT().ReceivedPacket(gomock.Any(), gomock.Any(), gomock.Any()).Do(func(hdr *wire.ExtendedHeader, _ protocol.ByteCount, _ []logging.Frame) {
+			}).Times(3)
+			packer.EXPECT().PackCoalescedPacket().Times(3) // only expect a single call
+
+			for i := 0; i < 3; i++ {
+				sess.handlePacket(getPacket(&wire.ExtendedHeader{
+					Header:          wire.Header{DestConnectionID: srcConnID},
+					PacketNumber:    0x1337,
+					PacketNumberLen: protocol.PacketNumberLen2,
+				}, []byte("foobar")))
+			}
+
+			go func() {
+				defer GinkgoRecover()
+				cryptoSetup.EXPECT().RunHandshake().MaxTimes(1)
+				sess.run()
+			}()
+			Consistently(sess.Context().Done()).ShouldNot(BeClosed())
+
+			// make the go routine return
+			streamManager.EXPECT().CloseWithError(gomock.Any())
+			cryptoSetup.EXPECT().Close()
+			packer.EXPECT().PackConnectionClose(gomock.Any()).Return(&coalescedPacket{buffer: getPacketBuffer()}, nil)
+			expectReplaceWithClosed()
+			tracer.EXPECT().ClosedConnection(gomock.Any())
+			tracer.EXPECT().Close()
+			mconn.EXPECT().Write(gomock.Any())
+			sess.closeLocal(errors.New("close"))
+			Eventually(sess.Context().Done()).Should(BeClosed())
+		})
+
 		It("closes the session when unpacking fails because the reserved bits were incorrect", func() {
 			unpacker.EXPECT().Unpack(gomock.Any(), gomock.Any(), gomock.Any()).Return(nil, wire.ErrInvalidReservedBits)
 			streamManager.EXPECT().CloseWithError(gomock.Any())