diff --git a/integrations/anthropic/tests/test_chat_generator.py b/integrations/anthropic/tests/test_chat_generator.py
index 36622ecd9..d46ee624d 100644
--- a/integrations/anthropic/tests/test_chat_generator.py
+++ b/integrations/anthropic/tests/test_chat_generator.py
@@ -81,25 +81,6 @@ def test_to_dict_with_parameters(self, monkeypatch):
             },
         }
 
-    def test_to_dict_with_lambda_streaming_callback(self, monkeypatch):
-        monkeypatch.setenv("ANTHROPIC_API_KEY", "test-api-key")
-        component = AnthropicChatGenerator(
-            model="claude-3-5-sonnet-20240620",
-            streaming_callback=lambda x: x,
-            generation_kwargs={"max_tokens": 10, "some_test_param": "test-params"},
-        )
-        data = component.to_dict()
-        assert data == {
-            "type": "haystack_integrations.components.generators.anthropic.chat.chat_generator.AnthropicChatGenerator",
-            "init_parameters": {
-                "api_key": {"env_vars": ["ANTHROPIC_API_KEY"], "strict": True, "type": "env_var"},
-                "model": "claude-3-5-sonnet-20240620",
-                "streaming_callback": "tests.test_chat_generator.<lambda>",
-                "generation_kwargs": {"max_tokens": 10, "some_test_param": "test-params"},
-                "ignore_tools_thinking_messages": True,
-            },
-        }
-
     def test_from_dict(self, monkeypatch):
         monkeypatch.setenv("ANTHROPIC_API_KEY", "fake-api-key")
         data = {
diff --git a/integrations/cohere/tests/test_cohere_chat_generator.py b/integrations/cohere/tests/test_cohere_chat_generator.py
index 4aaa2da2b..1a4774a40 100644
--- a/integrations/cohere/tests/test_cohere_chat_generator.py
+++ b/integrations/cohere/tests/test_cohere_chat_generator.py
@@ -98,26 +98,6 @@ def test_to_dict_with_parameters(self, monkeypatch):
             },
         }
 
-    def test_to_dict_with_lambda_streaming_callback(self, monkeypatch):
-        monkeypatch.setenv("COHERE_API_KEY", "test-api-key")
-        component = CohereChatGenerator(
-            model="command-r",
-            streaming_callback=lambda x: x,
-            api_base_url="test-base-url",
-            generation_kwargs={"max_tokens": 10, "some_test_param": "test-params"},
-        )
-        data = component.to_dict()
-        assert data == {
-            "type": "haystack_integrations.components.generators.cohere.chat.chat_generator.CohereChatGenerator",
-            "init_parameters": {
-                "model": "command-r",
-                "api_base_url": "test-base-url",
-                "api_key": {"env_vars": ["COHERE_API_KEY", "CO_API_KEY"], "strict": True, "type": "env_var"},
-                "streaming_callback": "tests.test_cohere_chat_generator.<lambda>",
-                "generation_kwargs": {"max_tokens": 10, "some_test_param": "test-params"},
-            },
-        }
-
     def test_from_dict(self, monkeypatch):
         monkeypatch.setenv("COHERE_API_KEY", "fake-api-key")
         monkeypatch.setenv("CO_API_KEY", "fake-api-key")