diff --git a/go.mod b/go.mod
index 0dd59776f..4cd8abb1d 100644
--- a/go.mod
+++ b/go.mod
@@ -14,7 +14,7 @@ require (
 	github.com/google/uuid v1.3.0
 	github.com/klauspost/compress v1.15.0
 	github.com/klauspost/cpuid/v2 v2.0.11
-	github.com/lucas-clemente/quic-go v0.26.0
+	github.com/lucas-clemente/quic-go v0.27.0
 	github.com/mholt/acmez v1.0.2
 	github.com/prometheus/client_golang v1.12.1
 	github.com/smallstep/certificates v0.19.0
diff --git a/go.sum b/go.sum
index dde9bbc70..8469aae07 100644
--- a/go.sum
+++ b/go.sum
@@ -719,8 +719,8 @@ github.com/libdns/libdns v0.2.1 h1:Wu59T7wSHRgtA0cfxC+n1c/e+O3upJGWytknkmFEDis=
 github.com/libdns/libdns v0.2.1/go.mod h1:yQCXzk1lEZmmCPa857bnk4TsOiqYasqpyOEeSObbb40=
 github.com/lightstep/lightstep-tracer-common/golang/gogo v0.0.0-20190605223551-bc2310a04743/go.mod h1:qklhhLq1aX+mtWk9cPHPzaBjWImj5ULL6C7HFJtXQMM=
 github.com/lightstep/lightstep-tracer-go v0.18.1/go.mod h1:jlF1pusYV4pidLvZ+XD0UBX0ZE6WURAspgAczcDHrL4=
-github.com/lucas-clemente/quic-go v0.26.0 h1:ALBQXr9UJ8A1LyzvceX4jd9QFsHvlI0RR6BkV16o00A=
-github.com/lucas-clemente/quic-go v0.26.0/go.mod h1:AzgQoPda7N+3IqMMMkywBKggIFo2KT6pfnlrQ2QieeI=
+github.com/lucas-clemente/quic-go v0.27.0 h1:v6WY87q9zD4dKASbG8hy/LpzAVNzEQzw8sEIeloJsc4=
+github.com/lucas-clemente/quic-go v0.27.0/go.mod h1:AzgQoPda7N+3IqMMMkywBKggIFo2KT6pfnlrQ2QieeI=
 github.com/lunixbochs/vtclean v1.0.0/go.mod h1:pHhQNgMf3btfWnGBVipUOjRYhoOsdGqdm/+2c2E2WMI=
 github.com/lxn/walk v0.0.0-20210112085537-c389da54e794/go.mod h1:E23UucZGqpuUANJooIbHWCufXvOcT6E7Stq81gU+CSQ=
 github.com/lxn/win v0.0.0-20210218163916-a377121e959e/go.mod h1:KxxjdtRkfNoYDCUP5ryK7XJJNTnpC8atvtmTheChOtk=
diff --git a/listeners.go b/listeners.go
index 181db75a9..f2d7e10bf 100644
--- a/listeners.go
+++ b/listeners.go
@@ -184,7 +184,7 @@ type fakeCloseQuicListener struct {
 // server on which Accept would be called with non-empty contexts
 // (mind that the default net listeners' Accept doesn't take a context argument)
 // sounds way too rare for us to sacrifice efficiency here.
-func (fcql *fakeCloseQuicListener) Accept(_ context.Context) (quic.EarlySession, error) {
+func (fcql *fakeCloseQuicListener) Accept(_ context.Context) (quic.EarlyConnection, error) {
 	conn, err := fcql.sharedQuicListener.Accept(fcql.context)
 	if err == nil {
 		return conn, nil