diff --git a/internal/wire/header.go b/internal/wire/header.go
index 0cffb8c6..b17e8127 100644
--- a/internal/wire/header.go
+++ b/internal/wire/header.go
@@ -247,3 +247,11 @@ func (h *Header) ParseExtended(b *bytes.Reader, ver protocol.VersionNumber) (*Ex
 func (h *Header) toExtendedHeader() *ExtendedHeader {
 	return &ExtendedHeader{Header: *h}
 }
+
+// PacketType is the type of the packet, for logging purposes
+func (h *Header) PacketType() string {
+	if h.IsLongHeader {
+		return h.Type.String()
+	}
+	return "1-RTT"
+}
diff --git a/internal/wire/header_test.go b/internal/wire/header_test.go
index 8b790a23..b6076193 100644
--- a/internal/wire/header_test.go
+++ b/internal/wire/header_test.go
@@ -558,4 +558,9 @@ var _ = Describe("Header Parsing", func() {
 			}
 		})
 	})
+
+	It("tells its packet type for logging", func() {
+		Expect((&Header{IsLongHeader: true, Type: protocol.PacketTypeHandshake}).PacketType()).To(Equal("Handshake"))
+		Expect((&Header{}).PacketType()).To(Equal("1-RTT"))
+	})
 })
diff --git a/session.go b/session.go
index d99e2083..9b43d6b6 100644
--- a/session.go
+++ b/session.go
@@ -665,7 +665,7 @@ func (s *session) handleSinglePacket(p *receivedPacket, hdr *wire.Header) bool /
 	// After this, all packets with a different source connection have to be ignored.
 	destConnID := s.connIDManager.Get()
 	if s.receivedFirstPacket && hdr.IsLongHeader && !hdr.SrcConnectionID.Equal(destConnID) {
-		s.logger.Debugf("Dropping packet with unexpected source connection ID: %s (expected %s)", hdr.SrcConnectionID, destConnID)
+		s.logger.Debugf("Dropping %s packet with unexpected source connection ID: %s (expected %s)", hdr.PacketType(), hdr.SrcConnectionID, destConnID)
 		return false
 	}
 	// drop 0-RTT packets
@@ -677,7 +677,7 @@ func (s *session) handleSinglePacket(p *receivedPacket, hdr *wire.Header) bool /
 	if err != nil {
 		switch err {
 		case handshake.ErrKeysDropped:
-			s.logger.Debugf("Dropping packet because we already dropped the keys.")
+			s.logger.Debugf("Dropping %s packet because we already dropped the keys.", hdr.PacketType())
 		case handshake.ErrKeysNotYetAvailable:
 			// Sealer for this encryption level not yet available.
 			// Try again later.
@@ -688,7 +688,7 @@ func (s *session) handleSinglePacket(p *receivedPacket, hdr *wire.Header) bool /
 		default:
 			// This might be a packet injected by an attacker.
 			// Drop it.
-			s.logger.Debugf("Dropping packet that could not be unpacked. Error: %s", err)
+			s.logger.Debugf("Dropping %s packet that could not be unpacked. Error: %s", hdr.PacketType(), err)
 		}
 		return false
 	}