diff --git a/litellm/router_strategy/lowest_tpm_rpm.py b/litellm/router_strategy/lowest_tpm_rpm.py
index 0437c2aff..0a7773a84 100644
--- a/litellm/router_strategy/lowest_tpm_rpm.py
+++ b/litellm/router_strategy/lowest_tpm_rpm.py
@@ -206,7 +206,7 @@ class LowestTPMLoggingHandler(CustomLogger):
             if item_tpm + input_tokens > _deployment_tpm:
                 continue
             elif (rpm_dict is not None and item in rpm_dict) and (
-                rpm_dict[item] + 1 > _deployment_rpm
+                rpm_dict[item] + 1 >= _deployment_rpm
             ):
                 continue
             elif item_tpm < lowest_tpm:
diff --git a/litellm/router_strategy/lowest_tpm_rpm_v2.py b/litellm/router_strategy/lowest_tpm_rpm_v2.py
index 3300e56ff..418bb4316 100644
--- a/litellm/router_strategy/lowest_tpm_rpm_v2.py
+++ b/litellm/router_strategy/lowest_tpm_rpm_v2.py
@@ -366,7 +366,7 @@ class LowestTPMLoggingHandler_v2(CustomLogger):
             if item_tpm + input_tokens > _deployment_tpm:
                 continue
             elif (rpm_dict is not None and item in rpm_dict) and (
-                rpm_dict[item] + 1 > _deployment_rpm
+                rpm_dict[item] + 1 >= _deployment_rpm
             ):
                 continue
             elif item_tpm == lowest_tpm:
diff --git a/litellm/tests/test_router_caching.py b/litellm/tests/test_router_caching.py
index ebace161c..ce03498f9 100644
--- a/litellm/tests/test_router_caching.py
+++ b/litellm/tests/test_router_caching.py
@@ -264,3 +264,32 @@ async def test_acompletion_caching_on_router_caching_groups():
     except Exception as e:
         traceback.print_exc()
         pytest.fail(f"Error occurred: {e}")
+
+def test_rpm_limiting():
+    try:
+        litellm.set_verbose = True
+        model_list = [
+            {
+                "model_name": "gpt-3.5-turbo",
+                "litellm_params": {
+                    "model": "gpt-3.5-turbo",
+                    "api_key": os.getenv("OPENAI_API_KEY"),
+                },
+                "tpm": 10000,
+                "rpm": 3,
+            },
+        ]
+        
+        router = Router(
+                    model_list = model_list, 
+                    routing_strategy = "usage-based-routing",
+                )
+        failedCount = 0
+        for i in range(10):
+            try:
+                response = router.completion(model="gpt-3.5-turbo", messages=[{"role": "user", "content": ""}])
+            except ValueError as e:
+                failedCount += 1
+        assert failedCount == 7
+    except Exception as e:
+        pytest.fail(f"An exception occurred - {str(e)}")
\ No newline at end of file