diff --git a/tests/generate_tests.py b/tests/generate_tests.py
index d529160dd..3f103778b 100644
--- a/tests/generate_tests.py
+++ b/tests/generate_tests.py
@@ -72,6 +72,9 @@
 
     # TODO: remove when https://github.com/huggingface/transformers/issues/28096 is addressed
     'RajuKandasamy/tamillama_tiny_30m',
+
+    # Requires `trust_remote_code`
+    'monologg/kobert',
 ]
 
 MAX_TESTS = {
@@ -228,10 +231,6 @@
 
 TOKENIZERS_WITH_CHAT_TEMPLATES = {
     # https://huggingface.co/docs/transformers/main/en/chat_templating
-    'Xenova/blenderbot-400M-distill': [
-        'basic',
-    ],
-
     'Xenova/mistral-tokenizer-v1': [
         'basic',
     ],
@@ -240,16 +239,6 @@
         'system',
     ],
 
-    'Xenova/llama-tokenizer': [
-        'basic',
-        'system',
-        'system + assistant',
-    ],
-    'Xenova/llama2-tokenizer': [
-        'basic',
-        'system',
-        'system + assistant',
-    ],
     'Xenova/llama2-chat-tokenizer': [
         'basic',
         'system',