diff --git a/session.go b/session.go
index 81147aab..eef65d2e 100644
--- a/session.go
+++ b/session.go
@@ -583,20 +583,41 @@ runLoop:
 			case <-s.sendingScheduled:
 				// We do all the interesting stuff after the switch statement, so
 				// nothing to see here.
-			case p := <-s.receivedPackets:
-				s.sentPacketHandler.ReceivedBytes(p.Size())
-				// Only reset the timers if this packet was actually processed.
-				// This avoids modifying any state when handling undecryptable packets,
-				// which could be injected by an attacker.
-				if wasProcessed := s.handlePacketImpl(p); !wasProcessed {
-					continue
-				}
+			case firstPacket := <-s.receivedPackets:
+				s.sentPacketHandler.ReceivedBytes(firstPacket.Size())
+				wasProcessed := s.handlePacketImpl(firstPacket)
 				// Don't set timers and send packets if the packet made us close the session.
 				select {
 				case closeErr = <-s.closeChan:
 					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
+						}
+						select {
+						case closeErr = <-s.closeChan:
+							break runLoop
+						default:
+						}
+					default:
+						break receiveLoop
+					}
+				}
+				// Only reset the timers if this packet was actually processed.
+				// This avoids modifying any state when handling undecryptable packets,
+				// which could be injected by an attacker.
+				if !wasProcessed {
+					continue
+				}
 			case <-s.handshakeCompleteChan:
 				s.handleHandshakeComplete()
 			}
diff --git a/session_test.go b/session_test.go
index 2b153837..b2a30487 100644
--- a/session_test.go
+++ b/session_test.go
@@ -671,8 +671,9 @@ var _ = Describe("Session", func() {
 			buf := &bytes.Buffer{}
 			Expect(extHdr.Write(buf, sess.version)).To(Succeed())
 			return &receivedPacket{
-				data:   append(buf.Bytes(), data...),
-				buffer: getPacketBuffer(),
+				data:    append(buf.Bytes(), data...),
+				buffer:  getPacketBuffer(),
+				rcvTime: time.Now(),
 			}
 		}
 
@@ -857,6 +858,51 @@ var _ = Describe("Session", func() {
 			Eventually(sess.Context().Done()).Should(BeClosed())
 		})
 
+		It("processes multiple received packets before sending one", func() {
+			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() // 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())
+			fmt.Println("close")
+			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())