--- a/lib/softoken/pkcs11c.c
+++ b/lib/softoken/pkcs11c.c
@@ -5586,16 +5586,17 @@ sftk_unwrapPrivateKey(SFTKObject *key, S
                                                   sizeof(NSSLOWKEYPrivateKey));
     if (lpk == NULL) {
         goto loser;
     }
     lpk->arena = arena;
 
     switch (SECOID_GetAlgorithmTag(&pki->algorithm)) {
         case SEC_OID_PKCS1_RSA_ENCRYPTION:
+        case SEC_OID_PKCS1_RSA_PSS_SIGNATURE:
             keyTemplate = nsslowkey_RSAPrivateKeyTemplate;
             paramTemplate = NULL;
             paramDest = NULL;
             lpk->keyType = NSSLOWKEYRSAKey;
             prepare_low_rsa_priv_key_for_asn1(lpk);
             break;
         case SEC_OID_ANSIX9_DSA_SIGNATURE:
             keyTemplate = nsslowkey_DSAPrivateKeyExportTemplate;