diff --git a/litellm/proxy/health_check.py b/litellm/proxy/health_check.py
index f9d408fb7de..4d70406caf8 100644
--- a/litellm/proxy/health_check.py
+++ b/litellm/proxy/health_check.py
@@ -18,6 +18,7 @@ from litellm.constants import (
     DEFAULT_HEALTH_CHECK_PROMPT,
     HEALTH_CHECK_TIMEOUT_SECONDS,
 )
+from litellm.router_utils.auto_router_model_naming import classify_strategy_router_model
 
 ILLEGAL_DISPLAY_PARAMS: Final = [
     "messages",
@@ -182,30 +183,17 @@ async def run_with_timeout(task, timeout):
         return {"error": "Timeout exceeded", "exception": timeout_exception}
 
 
-def _is_semantic_auto_router_deployment(litellm_params: dict) -> bool:
-    """
-    True for semantic auto_router deployments (auto_router/<name>) that are not
-    sub-strategies (complexity_router, adaptive_router, quality_router).
-
-    These are meta-routers that select among real LLM deployments at request time;
-    they have no LLM endpoint to health-check.
-    """
+def _is_strategy_router_deployment(litellm_params: dict) -> bool:
+    """True for strategy-router deployments."""
     model: Final[object] = litellm_params.get("model", "")
-    if not isinstance(model, str):
-        return False
-    if not model.startswith("auto_router/"):
-        return False
-    for sub_strategy in ("complexity_router", "adaptive_router", "quality_router"):
-        if model.startswith(f"auto_router/{sub_strategy}"):
-            return False
-    return True
+    return isinstance(model, str) and classify_strategy_router_model(model) is not None
 
 
 async def _run_model_health_check(model: dict):
     litellm_params = model["litellm_params"]
     model_info: Final = model.get("model_info", {})
 
-    if _is_semantic_auto_router_deployment(litellm_params):
+    if _is_strategy_router_deployment(litellm_params):
         return {}
 
     mode: Final = _resolve_health_check_mode(
diff --git a/tests/test_litellm/proxy/test_health_check_max_tokens.py b/tests/test_litellm/proxy/test_health_check_max_tokens.py
index 5a606d5f74e..80c6f2bba25 100644
--- a/tests/test_litellm/proxy/test_health_check_max_tokens.py
+++ b/tests/test_litellm/proxy/test_health_check_max_tokens.py
@@ -5,7 +5,7 @@ import pytest
 from litellm.litellm_core_utils.health_check_helpers import HealthCheckHelpers
 from litellm.proxy import health_check as hc_module
 from litellm.proxy.health_check import (
-    _is_semantic_auto_router_deployment,
+    _is_strategy_router_deployment,
     _resolve_health_check_max_tokens,
     _resolve_health_check_mode,
     _update_litellm_params_for_health_check,
@@ -495,33 +495,22 @@ def test_autodetected_embedding_skips_reasoning_effort():
     assert "max_tokens" not in updated
 
 
-# ---------------------------------------------------------------------------
-# auto_router (semantic router) deployments must be skipped by health checks.
-#
-# These are meta-routers that select among real LLM deployments at request
-# time. They have no LLM endpoint to probe. Before this fix, the health check
-# passed model="auto_router/router_1" to get_llm_provider(), which raised
-# BadRequestError: "Unmapped LLM provider for this endpoint" because
-# auto_router is not a real LLM provider.
-# ---------------------------------------------------------------------------
-
-
 @pytest.mark.parametrize(
     "model, expected",
     [
         ("auto_router/router_1", True),
         ("auto_router/my_router", True),
-        ("auto_router/complexity_router", False),
-        ("auto_router/adaptive_router", False),
-        ("auto_router/quality_router", False),
-        ("auto_router/adaptive_router/subpath", False),
+        ("auto_router/complexity_router", True),
+        ("auto_router/adaptive_router", True),
+        ("auto_router/quality_router", True),
+        ("auto_router/adaptive_router/subpath", True),
         ("gpt-4", False),
         ("openai/gpt-4", False),
         ("bedrock/claude", False),
     ],
 )
-def test_is_semantic_auto_router_deployment(model, expected):
-    assert _is_semantic_auto_router_deployment({"model": model}) == expected
+def test_is_strategy_router_deployment(model, expected):
+    assert _is_strategy_router_deployment({"model": model}) == expected
 
 
 @pytest.mark.asyncio
@@ -543,3 +532,22 @@ async def test_run_model_health_check_skips_auto_router_deployment():
 
     fake_ahealth_check.assert_not_called()
     assert result == {}
+
+
+@pytest.mark.asyncio
+async def test_run_model_health_check_skips_complexity_router_deployment():
+    fake_ahealth_check = AsyncMock(return_value={})
+    model = {
+        "litellm_params": {
+            "model": "auto_router/complexity_router",
+            "complexity_router_config": {"tiers": {"simple": "gpt-4o-mini"}},
+            "complexity_router_default_model": "gpt-4o-mini",
+        },
+        "model_info": {},
+    }
+
+    with patch.object(hc_module.litellm, "ahealth_check", fake_ahealth_check):
+        result = await hc_module._run_model_health_check(model)
+
+    fake_ahealth_check.assert_not_called()
+    assert result == {}