diff --git a/src/compressed_tensors/offload/cache/base.py b/src/compressed_tensors/offload/cache/base.py
index 6d1431b4a..060139e2b 100644
--- a/src/compressed_tensors/offload/cache/base.py
+++ b/src/compressed_tensors/offload/cache/base.py
@@ -42,8 +42,8 @@ class OffloadCache(MutableMapping, ABC):
     # names -> offloaded tensors (populated from _parameters or _buffers)
     offloaded_values: dict[Hashable, torch.Tensor]
 
-    # offloaded tensors -> onloaded tensors (only when offloading is disabled)
-    keep_onloaded_values: ClassVar[dict[torch.Tensor, torch.Tensor]] = dict()
+    # id(offloaded tensor) -> onloaded tensor (only when offloading is disabled)
+    keep_onloaded_values: ClassVar[dict[int, torch.Tensor]] = dict()
 
     @classmethod
     def cls_from_device(
@@ -180,15 +180,15 @@ def __getitem__(self, key: Hashable) -> torch.Tensor:
             return offloaded
 
         # check for cache hit
-        if offloaded in self.keep_onloaded_values:
-            return self.keep_onloaded_values[offloaded]
+        if id(offloaded) in self.keep_onloaded_values:
+            return self.keep_onloaded_values[id(offloaded)]
 
         # onload value
         onloaded = self.onload(offloaded)
 
         # when offloading is disabled, populate cache
         if self.offloading_disabled:
-            self.keep_onloaded_values[offloaded] = onloaded
+            self.keep_onloaded_values[id(offloaded)] = onloaded
 
         return onloaded
 
@@ -212,7 +212,7 @@ def __setitem__(self, key: Hashable, value: torch.Tensor | None):
         if offloaded is not None and torch.is_same_size(offloaded, value):
             self.update_offload(offloaded, value)
 
-            onloaded = self.keep_onloaded_values.get(offloaded, None)
+            onloaded = self.keep_onloaded_values.get(id(offloaded), None)
             if onloaded is not None and onloaded is not offloaded:
                 onloaded.copy_(value)
 
@@ -231,8 +231,8 @@ def __delitem__(self, key: Hashable):
         del self.offloaded_values[key]
 
         # remove strong ref
-        if offloaded in self.keep_onloaded_values:
-            del self.keep_onloaded_values[offloaded]
+        if id(offloaded) in self.keep_onloaded_values:
+            del self.keep_onloaded_values[id(offloaded)]
 
     def __contains__(self, key) -> bool:
         return key in self.offloaded_values
diff --git a/src/compressed_tensors/offload/cache/disk.py b/src/compressed_tensors/offload/cache/disk.py
index f623febd8..f3e00710f 100644
--- a/src/compressed_tensors/offload/cache/disk.py
+++ b/src/compressed_tensors/offload/cache/disk.py
@@ -32,8 +32,8 @@ class DiskCache(OffloadCache):
 
     offload_device = "disk"
 
-    # offloaded tensors -> weight info
-    index: dict[torch.Tensor, dict[str, str]] = dict()
+    # id(offloaded tensor) -> weight info
+    index: dict[int, dict[str, str]] = dict()
 
     # directory where new tensors are written to
     offload_dir: str
@@ -67,7 +67,7 @@ def onload(self, offloaded: torch.Tensor | None) -> torch.Tensor | None:
         if offloaded is None:
             return None
 
-        weight_info = self.index[offloaded]
+        weight_info = self.index[id(offloaded)]
         device = _get_safe_open_device(self.onload_device)
 
         with safe_open(
@@ -92,14 +92,14 @@ def offload(
             return None
 
         if tensor.device.type == "meta":
-            assert tensor in self.index
+            assert id(tensor) in self.index
             return tensor
 
         if offloaded is None:
             offloaded = send_tensors(tensor, device="meta")
 
         file_path = self._get_ct_file_path(self.offload_dir, offloaded)
-        self.index[offloaded] = {
+        self.index[id(offloaded)] = {
             "safetensors_file": file_path,
             "weight_name": "weight",
             "dtype": str(tensor.dtype).removeprefix("torch."),
@@ -119,10 +119,10 @@ def __delitem__(self, key: str):
         :param key: name of tensor to invalidate
         """
         offloaded = self.offloaded_values[key]
-        file_path = self.index[offloaded]["safetensors_file"]
+        file_path = self.index[id(offloaded)]["safetensors_file"]
         if self._is_ct_file_path(file_path):
             os.remove(file_path)
-        del self.index[offloaded]
+        del self.index[id(offloaded)]
         super().__delitem__(key)
 
     def update_offload(self, offloaded: torch.Tensor, data: torch.Tensor | None):
@@ -133,8 +133,8 @@ def update_offload(self, offloaded: torch.Tensor, data: torch.Tensor | None):
         :param data: new data
         """
         # get weight info from index
-        assert offloaded in self.index, "Cannot find offload to update"
-        weight_info = self.index[offloaded]
+        assert id(offloaded) in self.index, "Cannot find offload to update"
+        weight_info = self.index[id(offloaded)]
         file_path = weight_info["safetensors_file"]
         weight_name = weight_info["weight_name"]
         dtype = getattr(torch, weight_info["dtype"])
@@ -169,7 +169,7 @@ def create_checkpoint_symlink(
         file_path = cls._get_ct_file_path(offload_dir, offloaded)
 
         os.symlink(source_path, file_path)
-        cls.index[offloaded] = {
+        cls.index[id(offloaded)] = {
             "safetensors_file": file_path,
             "weight_name": weight_info["weight_name"],
             "dtype": weight_info["dtype"],
diff --git a/src/compressed_tensors/offload/cache/dist_disk.py b/src/compressed_tensors/offload/cache/dist_disk.py
index d8db1d460..fc58a699f 100644
--- a/src/compressed_tensors/offload/cache/dist_disk.py
+++ b/src/compressed_tensors/offload/cache/dist_disk.py
@@ -27,10 +27,11 @@ def offload(self, tensor: torch.Tensor | None) -> torch.Tensor | None:
         if is_source_process():
             # write to disk
             offloaded = super().offload(tensor)
+            offloaded_id = id(offloaded)
             broadcast_obj = [
-                self.index[offloaded]["safetensors_file"],
-                self.index[offloaded]["weight_name"],
-                self.index[offloaded]["dtype"],
+                self.index[offloaded_id]["safetensors_file"],
+                self.index[offloaded_id]["weight_name"],
+                self.index[offloaded_id]["dtype"],
             ]
         else:
             offloaded = send_tensors(tensor, device="meta")
@@ -39,7 +40,7 @@ def offload(self, tensor: torch.Tensor | None) -> torch.Tensor | None:
         dist.broadcast_object_list(broadcast_obj, src=get_source_rank())
 
         if not is_source_process():
-            self.index[offloaded] = {
+            self.index[id(offloaded)] = {
                 "safetensors_file": broadcast_obj[0],
                 "weight_name": broadcast_obj[1],
                 "dtype": broadcast_obj[2],
diff --git a/src/compressed_tensors/offload/convert/from_accelerate.py b/src/compressed_tensors/offload/convert/from_accelerate.py
index 3e136823b..33b093af4 100644
--- a/src/compressed_tensors/offload/convert/from_accelerate.py
+++ b/src/compressed_tensors/offload/convert/from_accelerate.py
@@ -186,7 +186,7 @@ def _save_ct_index_entry(
     offloaded: torch.Tensor,
 ):
     # already indexed from a previous round-trip (e.g. to_accelerate -> from_accelerate)
-    if offloaded in DiskCache.index:
+    if id(offloaded) in DiskCache.index:
         return
 
     entry: dict = dataset.index[name]
diff --git a/src/compressed_tensors/offload/convert/to_accelerate.py b/src/compressed_tensors/offload/convert/to_accelerate.py
index 12a477388..b86fd9e42 100644
--- a/src/compressed_tensors/offload/convert/to_accelerate.py
+++ b/src/compressed_tensors/offload/convert/to_accelerate.py
@@ -112,17 +112,20 @@ def to_accelerate_module(
 
 
 def _to_accelerate_disk_index(
-    model: torch.nn.Module, index: dict[torch.Tensor, dict[str, str]]
+    model: torch.nn.Module, index: dict[int, dict[str, str]]
 ) -> dict[str, dict[str, str]]:
     from compressed_tensors.offload import disable_onloading  # circular dependency
 
     with disable_onloading():
-        offloaded_to_key = _invert_dict(model.state_dict(keep_vars=True))
+        inverse_state_dict = _invert_dict(model.state_dict(keep_vars=True))
+        offloaded_id_to_name = {
+            id(offloaded): name for offloaded, name in inverse_state_dict.items()
+        }
 
     return {
-        key: weight_info
-        for offloaded, weight_info in index.items()
-        for key in offloaded_to_key[offloaded]
+        name: weight_info
+        for offloaded_id, weight_info in index.items()
+        for name in offloaded_id_to_name[offloaded_id]
     }