diff --git a/object/oidc_discovery.go b/object/oidc_discovery.go
index 2760aa5e..e5763cf5 100644
--- a/object/oidc_discovery.go
+++ b/object/oidc_discovery.go
@@ -105,6 +105,8 @@ func GetJsonWebKeySet() (jose.JSONWebKeySet, error) {
 		jwk.Key = x509Cert.PublicKey
 		jwk.Certificates = []*x509.Certificate{x509Cert}
 		jwk.KeyID = cert.Name
+		jwk.Algorithm = cert.CryptoAlgorithm
+		jwk.Use = "sig"
 		jwks.Keys = append(jwks.Keys, jwk)
 	}