diff --git a/vllm/config.py b/vllm/config.py
index 7a3248f4087a..6aa2485e98d4 100644
--- a/vllm/config.py
+++ b/vllm/config.py
@@ -173,14 +173,20 @@ def __init__(self,
         if self.enforce_eager is None:
             self.enforce_eager = False
 
-        if (not self.disable_sliding_window
-                and self.hf_text_config.model_type == "gemma2"
-                and self.hf_text_config.sliding_window is not None):
+        sliding_window = getattr(self.hf_text_config, "sliding_window", None)
+        has_interleaved_attention = (sliding_window is not None) and (
+            isinstance(sliding_window, list) or
+            (self.hf_text_config.model_type in ["gemma2"]))
+
+        if (not self.disable_sliding_window and has_interleaved_attention):
+            sliding_window_len_min = get_min_sliding_window(
+                self.hf_text_config.sliding_window)
+
             print_warning_once(
-                "Gemma 2 uses sliding window attention for every odd layer, "
+                f"{self.hf_text_config.model_type} has interleaved attention, "
                 "which is currently not supported by vLLM. Disabling sliding "
                 "window and capping the max length to the sliding window size "
-                f"({self.hf_text_config.sliding_window}).")
+                f"({sliding_window_len_min}).")
             self.disable_sliding_window = True
 
         self.max_model_len = _get_and_verify_max_len(
@@ -422,7 +428,8 @@ def verify_with_parallel_config(
                                "pipeline parallelism currently. Disabling it.")
                 self.use_async_output_proc = False
 
-    def get_hf_config_sliding_window(self) -> Optional[int]:
+    def get_hf_config_sliding_window(
+            self) -> Union[Optional[int], List[Optional[int]]]:
         """Get the sliding window size, or None if disabled."""
 
         # Some models, like Qwen2 and Qwen1.5, use `use_sliding_window` in
@@ -433,7 +440,7 @@ def get_hf_config_sliding_window(self) -> Optional[int]:
             return None
         return getattr(self.hf_text_config, "sliding_window", None)
 
-    def get_sliding_window(self) -> Optional[int]:
+    def get_sliding_window(self) -> Optional[Union[int, List[Optional[int]]]]:
         """Get the sliding window size, or None if disabled.
         """
         # If user disables sliding window, return None.
@@ -1680,7 +1687,7 @@ def _get_and_verify_max_len(
     hf_config: PretrainedConfig,
     max_model_len: Optional[int],
     disable_sliding_window: bool,
-    sliding_window_len: Optional[int],
+    sliding_window_len: Optional[Union[int, List[Optional[int]]]],
     spec_target_max_model_len: Optional[int] = None,
 ) -> int:
     """Get and verify the model's maximum length."""
@@ -1713,9 +1720,12 @@ def _get_and_verify_max_len(
     # If sliding window is manually disabled, max_length should be less
     # than the sliding window length in the model config.
     if disable_sliding_window and sliding_window_len is not None:
+
+        sliding_window_len_min = get_min_sliding_window(sliding_window_len)
         max_len_key = "sliding_window" \
-            if sliding_window_len < derived_max_model_len else max_len_key
-        derived_max_model_len = min(derived_max_model_len, sliding_window_len)
+            if sliding_window_len_min < derived_max_model_len else max_len_key
+        derived_max_model_len = min(derived_max_model_len,
+                                    sliding_window_len_min)
 
     # If none of the keys were found in the config, use a default and
     # log a warning.
@@ -1803,6 +1813,14 @@ def _get_and_verify_max_len(
     return int(max_model_len)
 
 
+def get_min_sliding_window(
+        sliding_window: Union[int, List[Optional[int]]]) -> int:
+    if isinstance(sliding_window, list):
+        return min(s for s in sliding_window if s is not None)
+
+    return sliding_window
+
+
 def get_served_model_name(model: str,
                           served_model_name: Optional[Union[str, List[str]]]):
     """