diff --git a/README.md b/README.md
index 4e7c6e461..d1d245dc6 100644
--- a/README.md
+++ b/README.md
@@ -8,7 +8,7 @@
 [![Windows Build Status](https://img.shields.io/appveyor/ci/lucas-clemente/quic-go/master.svg?style=flat-square&label=windows+build)](https://ci.appveyor.com/project/lucas-clemente/quic-go/branch/master)
 [![Code Coverage](https://img.shields.io/codecov/c/github/lucas-clemente/quic-go/master.svg?style=flat-square)](https://codecov.io/gh/lucas-clemente/quic-go/)
 
-quic-go is an implementation of the [QUIC](https://en.wikipedia.org/wiki/QUIC) protocol in Go. It implements the [IETF QUIC draft-29](https://tools.ietf.org/html/draft-ietf-quic-transport-29).
+quic-go is an implementation of the [QUIC](https://en.wikipedia.org/wiki/QUIC) protocol in Go. It implements the [IETF QUIC draft-29](https://tools.ietf.org/html/draft-ietf-quic-transport-29) and [draft-32](https://tools.ietf.org/html/draft-ietf-quic-transport-32).
 
 ## Version compatibility
 
diff --git a/internal/protocol/version.go b/internal/protocol/version.go
index 20c4d7d06..8e233dec0 100644
--- a/internal/protocol/version.go
+++ b/internal/protocol/version.go
@@ -21,6 +21,8 @@ const (
 	VersionTLS      VersionNumber = 0x51474fff
 	VersionWhatever VersionNumber = 1 // for when the version doesn't matter
 	VersionUnknown  VersionNumber = math.MaxUint32
+	VersionDraft29  VersionNumber = 0xff00001d
+	VersionDraft32  VersionNumber = 0xff000020
 )
 
 // SupportedVersions lists the versions that the server supports
@@ -38,6 +40,10 @@ func (vn VersionNumber) String() string {
 		return "whatever"
 	case VersionUnknown:
 		return "unknown"
+	case VersionDraft29:
+		return "draft-29"
+	case VersionDraft32:
+		return "draft-32"
 	case VersionTLS:
 		return "TLS dev version (WIP)"
 	default:
diff --git a/internal/protocol/version_test.go b/internal/protocol/version_test.go
index c1a989fec..04fadd808 100644
--- a/internal/protocol/version_test.go
+++ b/internal/protocol/version_test.go
@@ -14,6 +14,8 @@ var _ = Describe("Version", func() {
 		Expect(IsValidVersion(VersionTLS)).To(BeTrue())
 		Expect(IsValidVersion(VersionWhatever)).To(BeFalse())
 		Expect(IsValidVersion(VersionUnknown)).To(BeFalse())
+		Expect(IsValidVersion(VersionDraft29)).To(BeFalse())
+		Expect(IsValidVersion(VersionDraft32)).To(BeFalse())
 		Expect(IsValidVersion(1234)).To(BeFalse())
 	})
 
@@ -25,6 +27,8 @@ var _ = Describe("Version", func() {
 		Expect(VersionTLS.String()).To(ContainSubstring("TLS"))
 		Expect(VersionWhatever.String()).To(Equal("whatever"))
 		Expect(VersionUnknown.String()).To(Equal("unknown"))
+		Expect(VersionDraft29.String()).To(Equal("draft-29"))
+		Expect(VersionDraft32.String()).To(Equal("draft-32"))
 		// check with unsupported version numbers from the wiki
 		Expect(VersionNumber(0x51303039).String()).To(Equal("gQUIC 9"))
 		Expect(VersionNumber(0x51303133).String()).To(Equal("gQUIC 13"))