diff --git a/src/tpm2-provider-digest.c b/src/tpm2-provider-digest.c
index d99f972..2b9a319 100644
--- a/src/tpm2-provider-digest.c
+++ b/src/tpm2-provider-digest.c
@@ -328,6 +328,8 @@ tpm2_digest_gettable_params(void *provctx)
     static const OSSL_PARAM known_gettable_params[] = {
         OSSL_PARAM_size_t(OSSL_DIGEST_PARAM_BLOCK_SIZE, NULL),
         OSSL_PARAM_size_t(OSSL_DIGEST_PARAM_SIZE, NULL),
+        OSSL_PARAM_int(OSSL_DIGEST_PARAM_XOF, NULL),
+        OSSL_PARAM_int(OSSL_DIGEST_PARAM_ALGID_ABSENT, NULL),
         OSSL_PARAM_END
     };
     return known_gettable_params;
@@ -349,6 +351,15 @@ tpm2_digest_get_params_int(OSSL_PARAM params[], size_t block, size_t size)
     if (p != NULL && !OSSL_PARAM_set_size_t(p, size))
         return 0;
 
+    /* OSSL_DIGEST_PARAM_XOFLEN is never supported */
+    p = OSSL_PARAM_locate(params, OSSL_DIGEST_PARAM_XOF);
+    if (p != NULL && !OSSL_PARAM_set_int(p, 0))
+        return 0;
+
+    p = OSSL_PARAM_locate(params, OSSL_DIGEST_PARAM_ALGID_ABSENT);
+    if (p != NULL && !OSSL_PARAM_set_int(p, 0))
+        return 0;
+
     return 1;
 }
 
diff --git a/src/tpm2-provider-types.c b/src/tpm2-provider-types.c
index 22d0e3e..568049f 100644
--- a/src/tpm2-provider-types.c
+++ b/src/tpm2-provider-types.c
@@ -30,6 +30,7 @@ static const hash_names_t hashes[] = {
     { "SHA512", TPM2_ALG_SHA512 },
     { "SHA-512", TPM2_ALG_SHA512 },
     { "SHA2-512", TPM2_ALG_SHA512 },
+    { "SM3", TPM2_ALG_SM3_256 },
     { NULL, TPM2_ALG_ERROR }
 };