diff --git a/src/transformers/generation/utils.py b/src/transformers/generation/utils.py
index fed276b3238..97e0cf9b156 100644
--- a/src/transformers/generation/utils.py
+++ b/src/transformers/generation/utils.py
@@ -1677,7 +1677,7 @@ def _prepare_cache_for_generation(
         batch_size: int,
         max_cache_length: int,
         device: torch.device,
-    ) -> bool:
+    ) -> None:
         """
         Prepares the cache for generation (if applicable), given `generate`'s parameterization. If a cache is
         instantiated, writes it to `model_kwargs`, under the name expected by the model.
diff --git a/src/transformers/models/moshi/modeling_moshi.py b/src/transformers/models/moshi/modeling_moshi.py
index 3796e2dc5f3..bdd9b74f667 100644
--- a/src/transformers/models/moshi/modeling_moshi.py
+++ b/src/transformers/models/moshi/modeling_moshi.py
@@ -1062,6 +1062,7 @@ class MoshiDepthDecoder(MoshiPreTrainedModel, GenerationMixin):
     """
 
     config_class = MoshiDepthConfig
+    _supports_static_cache = False  # When switching to true, delete the overwritten `_prepare_cache_for_generation`
 
     def __init__(self, config: MoshiDepthConfig):
         super().__init__(config)
@@ -1441,6 +1442,25 @@ def _prepare_4d_causal_attention_mask_with_cache_position(
                 )
         return causal_mask
 
+    def _prepare_cache_for_generation(
+        self,
+        generation_config: GenerationConfig,
+        model_kwargs: Dict,
+        assistant_model: PreTrainedModel,
+        batch_size: int,
+        max_cache_length: int,
+        device: torch.device,
+    ) -> None:
+        """
+        Overwritten: Moshi doesn't support compilation, yet it defaults to the sliding window cache implementation.
+        The sliding window cache is compileable, which may trigger automatic compilation. This overwrite disables it.
+        """
+        super()._prepare_cache_for_generation(
+            generation_config, model_kwargs, assistant_model, batch_size, max_cache_length, device
+        )
+        if "past_key_values" in model_kwargs:
+            model_kwargs["past_key_values"].is_compileable = False
+
 
 @add_start_docstrings(
     "The bare Moshi Model outputting raw hidden-states without any specific head on top.",
@@ -1912,6 +1932,7 @@ class MoshiForConditionalGeneration(MoshiPreTrainedModel, GenerationMixin):
     supports_gradient_checkpointing = True
     _supports_flash_attn_2 = True
     _supports_sdpa = True
+    _supports_static_cache = False  # When switching to true, delete the overwritten `_prepare_cache_for_generation`
 
     def __init__(self, config: MoshiConfig):
         super().__init__(config)
@@ -2727,5 +2748,24 @@ def _reorder_cache(
             for layer_past in past_key_values
         )
 
+    def _prepare_cache_for_generation(
+        self,
+        generation_config: GenerationConfig,
+        model_kwargs: Dict,
+        assistant_model: PreTrainedModel,
+        batch_size: int,
+        max_cache_length: int,
+        device: torch.device,
+    ) -> None:
+        """
+        Overwritten: Moshi doesn't support compilation, yet it defaults to the sliding window cache implementation.
+        The sliding window cache is compileable, which may trigger automatic compilation. This overwrite disables it.
+        """
+        super()._prepare_cache_for_generation(
+            generation_config, model_kwargs, assistant_model, batch_size, max_cache_length, device
+        )
+        if "past_key_values" in model_kwargs:
+            model_kwargs["past_key_values"].is_compileable = False
+
 
 __all__ = ["MoshiForCausalLM", "MoshiForConditionalGeneration", "MoshiModel", "MoshiPreTrainedModel"]