diff --git a/p2p/transport/webrtc/listener.go b/p2p/transport/webrtc/listener.go
index 6e6876db6a..202cf14a2d 100644
--- a/p2p/transport/webrtc/listener.go
+++ b/p2p/transport/webrtc/listener.go
@@ -70,7 +70,7 @@ func newListener(transport *WebRTCTransport, laddr ma.Multiaddr, socket net.Pack
 	if err != nil {
 		return nil, err
 	}
-	localMhBuf, _ := multihash.EncodeName(localMh, sdpHashToMh(localFingerprints[0].Algorithm))
+	localMhBuf, _ := multihash.Encode(localMh, multihash.SHA2_256)
 	localFpMultibase, _ := multibase.Encode(multibase.Base58BTC, localMhBuf)
 
 	ctx, cancel := context.WithCancel(context.Background())
diff --git a/p2p/transport/webrtc/transport.go b/p2p/transport/webrtc/transport.go
index 5a8105dc16..72803d6fc1 100644
--- a/p2p/transport/webrtc/transport.go
+++ b/p2p/transport/webrtc/transport.go
@@ -1,8 +1,8 @@
 package libp2pwebrtc
 
 import (
-	"bytes"
 	"context"
+	"crypto"
 	"crypto/ecdsa"
 	"crypto/elliptic"
 	"crypto/rand"
@@ -10,7 +10,6 @@ import (
 	"encoding/hex"
 	"fmt"
 	"net"
-	"sort"
 	"strings"
 	"sync"
 
@@ -347,7 +346,7 @@ func (t *WebRTCTransport) getCertificateFingerprint() (webrtc.DTLSFingerprint, e
 	return fps[0], nil
 }
 
-func (t *WebRTCTransport) generateNoisePrologue(pc *webrtc.PeerConnection) ([]byte, error) {
+func (t *WebRTCTransport) generateNoisePrologue(pc *webrtc.PeerConnection, inbound bool) ([]byte, error) {
 	raw := pc.SCTP().Transport().GetRemoteCertificate()
 	cert, err := x509.ParseCertificate(raw)
 	if err != nil {
@@ -359,12 +358,7 @@ func (t *WebRTCTransport) generateNoisePrologue(pc *webrtc.PeerConnection) ([]by
 		return nil, err
 	}
 
-	hashAlgo, err := fingerprint.HashFromString(localFp.Algorithm)
-	if err != nil {
-		log.Debugf("could not find hash algo: %s %v", localFp.Algorithm, err)
-		return nil, err
-	}
-	remoteFp, err := fingerprint.Fingerprint(cert, hashAlgo)
+	remoteFp, err := fingerprint.Fingerprint(cert, crypto.SHA256)
 	if err != nil {
 		return nil, err
 	}
@@ -374,39 +368,36 @@ func (t *WebRTCTransport) generateNoisePrologue(pc *webrtc.PeerConnection) ([]by
 		return nil, err
 	}
 
-	mhAlgoName := sdpHashToMh(localFp.Algorithm)
-	if mhAlgoName == "" {
-		mhAlgoName = localFp.Algorithm
-	}
-
 	local := strings.ReplaceAll(localFp.Value, ":", "")
 	localBytes, err := hex.DecodeString(local)
 	if err != nil {
 		return nil, err
 	}
 
-	localEncoded, err := multihash.EncodeName(localBytes, mhAlgoName)
+	localEncoded, err := multihash.Encode(localBytes, multihash.SHA2_256)
 	if err != nil {
 		log.Debugf("could not encode multihash for local fingerprint")
 		return nil, err
 	}
-	remoteEncoded, err := multihash.EncodeName(remoteFpBytes, mhAlgoName)
+	remoteEncoded, err := multihash.Encode(remoteFpBytes, multihash.SHA2_256)
 	if err != nil {
 		log.Debugf("could not encode multihash for remote fingerprint")
 		return nil, err
 	}
 
-	b := [][]byte{localEncoded, remoteEncoded}
-	sort.Slice(b, func(i, j int) bool {
-		return bytes.Compare(b[i], b[j]) < 0
-	})
-	result := append([]byte("libp2p-webrtc-noise:"), b[0]...)
-	result = append(result, b[1]...)
+	result := []byte("libp2p-webrtc-noise:")
+	if inbound {
+		result = append(result, remoteEncoded...)
+		result = append(result, localEncoded...)
+	} else {
+		result = append(result, localEncoded...)
+		result = append(result, remoteEncoded...)
+	}
 	return result, nil
 }
 
 func (t *WebRTCTransport) noiseHandshake(ctx context.Context, pc *webrtc.PeerConnection, datachannel *dataChannel, peer peer.ID, inbound bool) (secureConn sec.SecureConn, err error) {
-	prologue, err := t.generateNoisePrologue(pc)
+	prologue, err := t.generateNoisePrologue(pc, inbound)
 	if err != nil {
 		return nil, errNoise("could not generate prologue", err)
 	}
diff --git a/p2p/transport/webrtc/util.go b/p2p/transport/webrtc/util.go
index 712b111d12..572ddc1c2b 100644
--- a/p2p/transport/webrtc/util.go
+++ b/p2p/transport/webrtc/util.go
@@ -10,32 +10,6 @@ import (
 	"github.com/pion/webrtc/v3"
 )
 
-func mhToSdpHash(mh string) string {
-	switch mh {
-	case "sha1":
-		return "sha1"
-	case "sha2-256":
-		return "sha-256"
-	case "md5":
-		return "md5"
-	default:
-		return ""
-	}
-}
-
-func sdpHashToMh(sdpHash string) string {
-	switch sdpHash {
-	case "sha-256":
-		return "sha2-256"
-	case "sha1":
-		return "sha1"
-	case "md5":
-		return "md5"
-	default:
-		return ""
-	}
-}
-
 func maFingerprintToSdp(fp string) string {
 	result := ""
 	first := true
@@ -57,11 +31,7 @@ func fingerprintToSDP(fp *mh.DecodedMultihash) string {
 		return ""
 	}
 	fpDigest := maFingerprintToSdp(hex.EncodeToString(fp.Digest))
-	fpAlgo := mhToSdpHash(strings.ToLower(fp.Name))
-	if fpAlgo == "" {
-		fpAlgo = strings.ToLower(fp.Name)
-	}
-	return fpAlgo + " " + fpDigest
+	return "sha-256 " + fpDigest
 }
 
 func decodeRemoteFingerprint(maddr ma.Multiaddr) (*mh.DecodedMultihash, error) {
@@ -81,11 +51,7 @@ func encodeDTLSFingerprint(fp webrtc.DTLSFingerprint) (string, error) {
 	if err != nil {
 		return "", err
 	}
-	algo := sdpHashToMh(strings.ToLower(fp.Algorithm))
-	if algo == "" {
-		algo = fp.Algorithm
-	}
-	encoded, err := mh.EncodeName(digest, algo)
+	encoded, err := mh.Encode(digest, mh.SHA2_256)
 	if err != nil {
 		return "", err
 	}