diff --git a/tests/suites/test_suite_lmots.function b/tests/suites/test_suite_lmots.function
index f18b79c0d..94d6b8e03 100644
--- a/tests/suites/test_suite_lmots.function
+++ b/tests/suites/test_suite_lmots.function
@@ -178,6 +178,15 @@ void lmots_import_export_test (  data_t * pub_key, int expected_import_rc )
                     MBEDTLS_ERR_LMS_BUFFER_TOO_SMALL );
         mbedtls_free(exported_pub_key);
         exported_pub_key = NULL;
+
+        /* Export into too-large buffer should succeed */
+        exported_pub_key_buf_size = MBEDTLS_LMOTS_PUBLIC_KEY_LEN(MBEDTLS_LMOTS_SHA256_N32_W8) + 1;
+        ASSERT_ALLOC( exported_pub_key, exported_pub_key_buf_size);
+        TEST_EQUAL( mbedtls_lmots_export_public_key( &ctx, exported_pub_key,
+                                                   exported_pub_key_buf_size, NULL ),
+                    0 );
+        mbedtls_free(exported_pub_key);
+        exported_pub_key = NULL;
     }
 
 exit:
diff --git a/tests/suites/test_suite_lms.function b/tests/suites/test_suite_lms.function
index 97f45e642..51addea0f 100644
--- a/tests/suites/test_suite_lms.function
+++ b/tests/suites/test_suite_lms.function
@@ -180,6 +180,15 @@ void lms_import_export_test (  data_t * pub_key, int expected_import_rc )
                     MBEDTLS_ERR_LMS_BUFFER_TOO_SMALL );
         mbedtls_free(exported_pub_key);
         exported_pub_key = NULL;
+
+        /* Export into too-large buffer should succeed */
+        exported_pub_key_buf_size = MBEDTLS_LMS_PUBLIC_KEY_LEN(MBEDTLS_LMS_SHA256_M32_H10) + 1;
+        ASSERT_ALLOC( exported_pub_key, exported_pub_key_buf_size);
+        TEST_EQUAL( mbedtls_lms_export_public_key( &ctx, exported_pub_key,
+                                                   exported_pub_key_buf_size, NULL ),
+                    0 );
+        mbedtls_free(exported_pub_key);
+        exported_pub_key = NULL;
     }
 
 exit: