diff --git a/src/mistral_inference/cache.py b/src/mistral_inference/cache.py
index 93cfb1c1..aaf3fcc6 100644
--- a/src/mistral_inference/cache.py
+++ b/src/mistral_inference/cache.py
@@ -55,26 +55,25 @@ def update(self, xk: torch.Tensor, xv: torch.Tensor) -> None:
 
     def interleave_kv(self, xk: torch.Tensor, xv: torch.Tensor) -> Tuple[torch.Tensor, torch.Tensor]:
         """
-        This is a naive implementation and not optimized for speed.
+        Optimized implementation of interleave_kv to reduce memory overhead.
         """
         assert xk.ndim == xv.ndim == 3  # (B * T, H, D)
         assert xk.shape == xv.shape
-
-        if all([s == 0 for s in self.metadata.seqlens]):
-            # No cache to interleave
+        
+        if all(seqlen == 0 for seqlen in self.metadata.seqlens):
+            # No data to interleave
             return xk, xv
 
-        # Make it a list of [(T, H, D)]
-        xk: Tuple[torch.Tensor] = torch.split(xk, self.metadata.seqlens)  # type: ignore
-        xv: Tuple[torch.Tensor] = torch.split(xv, self.metadata.seqlens)  # type: ignore
-        assert len(xk) == len(self.kv_seqlens), f"Batch size is {len(self.kv_seqlens)}, got {len(xk)}"
-
-        # Retrieve cache
-        cache_k = [cache_k[:seq_len] for cache_k, seq_len in zip(self.cache_k, self.kv_seqlens)]
-        cache_v = [cache_v[:seq_len] for cache_v, seq_len in zip(self.cache_v, self.kv_seqlens)]
-
-        interleaved_k = interleave_list(cache_k, list(xk))
-        interleaved_v = interleave_list(cache_v, list(xv))
+        # Efficiently split the tensors based on seqlens
+        xk_splits = torch.split(xk, self.metadata.seqlens)
+        xv_splits = torch.split(xv, self.metadata.seqlens)
+        
+        # Retrieve cached values up to the valid sequence length
+        cache_k_splits = [cache_k[:seq_len] for cache_k, seq_len in zip(self.cache_k, self.kv_seqlens)]
+        cache_v_splits = [cache_v[:seq_len] for cache_v, seq_len in zip(self.cache_v, self.kv_seqlens)]
+        
+        interleaved_k = [item for pair in zip(cache_k_splits, xk_splits) for item in pair]
+        interleaved_v = [item for pair in zip(cache_v_splits, xv_splits) for item in pair]
 
         return torch.cat(interleaved_k, dim=0), torch.cat(interleaved_v, dim=0)
 
@@ -198,4 +197,4 @@ def get_input_metadata(self, seqlens: List[int]) -> CacheInputMetadata:
             prefill=first_prefill or subsequent_prefill,
             mask=mask,
             seqlens=seqlens,
-        )
+        )
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