diff --git a/optimum/exporters/openvino/convert.py b/optimum/exporters/openvino/convert.py
index 36074fcc00..779776754a 100644
--- a/optimum/exporters/openvino/convert.py
+++ b/optimum/exporters/openvino/convert.py
@@ -31,14 +31,7 @@
 from optimum.exporters.onnx.model_patcher import DecoderModelPatcher
 from optimum.utils import is_diffusers_available
 
-from ...intel.utils.import_utils import (
-    _torch_version,
-    _transformers_version,
-    is_nncf_available,
-    is_optimum_version,
-    is_torch_version,
-    is_transformers_version,
-)
+from ...intel.utils.import_utils import is_nncf_available, is_optimum_version
 from .model_patcher import patch_model_with_bettertransformer
 from .stateful import ensure_stateful_is_available, patch_stateful
 from .utils import (
@@ -331,18 +324,6 @@ def export_pytorch(
     output = Path(output)
 
     if stateful:
-        if is_transformers_version("<", "4.36") or is_torch_version("<", "2.1.1"):
-            COLOR_RED = "\033[1;31m"
-            COLOR_RESET = "\033[0m"
-            logger.warning(
-                COLOR_RED
-                + "[WARNING] For good performance with stateful models, transformers>=4.36.2 and PyTorch>=2.1.1 are required. "
-                f"This Python environment has Transformers {_transformers_version} and PyTorch {_torch_version}. "
-                "Consider upgrading PyTorch and Transformers, for example by running "
-                "`pip install --upgrade --upgrade-strategy eager optimum[openvino,nncf]`, and export the model again"
-                + COLOR_RESET
-            )
-
         # Trigger bettertransformer together with stateful model because OpenVINO HW-dependent transformations expect
         # both of them are applied to demonstrate the best performance.
         # TODO: Consider applying bettertransformer regardless of stateful flag -- requires additional validation.
diff --git a/optimum/exporters/openvino/model_patcher.py b/optimum/exporters/openvino/model_patcher.py
index 37106eacf8..f953771a7a 100644
--- a/optimum/exporters/openvino/model_patcher.py
+++ b/optimum/exporters/openvino/model_patcher.py
@@ -14,16 +14,31 @@
 
 import logging as log
 
-from optimum.intel.utils.import_utils import is_torch_version
+from optimum.intel.utils.import_utils import (
+    _torch_version,
+    _transformers_version,
+    is_torch_version,
+    is_transformers_version,
+)
 
 
 def patch_model_with_bettertransformer(model):
-    if is_torch_version("<", "2.0"):
+    # check that the model has not yet been pathced
+    if hasattr(model, "use_bettertransformer") and model.use_bettertransformer is True:
+        return model
+
+    if is_transformers_version("<", "4.36") or is_torch_version("<", "2.1.1"):
+        COLOR_RED = "\033[1;31m"
+        COLOR_RESET = "\033[0m"
         log.warn(
-            "integration Scaled Dot Product Attention optimization supported only with torch > 2.0."
-            "Usage model with stateful=True may be non-effective if model does not contain torch.functional.scaled_dot_product_attention"
-            "It is recommended to upgrade PyTorch version for using stateful model or use stateful=False"
+            COLOR_RED
+            + "[WARNING] For good performance with stateful models, transformers>=4.36.2 and PyTorch>=2.1.1 are required. "
+            f"This Python environment has Transformers {_transformers_version} and PyTorch {_torch_version}. "
+            "Consider upgrading PyTorch and Transformers, for example by running "
+            "`pip install --upgrade --upgrade-strategy eager optimum[openvino,nncf]`, and export the model again"
+            + COLOR_RESET
         )
+
     # model already has required SDPA implementation
     if getattr(model, "_supports_sdpa", False) and getattr(model.config, "_attn_implementation", "eager") == "sdpa":
         return model
diff --git a/optimum/intel/openvino/quantization.py b/optimum/intel/openvino/quantization.py
index 3a2e55978c..cb6e577291 100644
--- a/optimum/intel/openvino/quantization.py
+++ b/optimum/intel/openvino/quantization.py
@@ -24,22 +24,26 @@
 import transformers
 from accelerate.data_loader import DataLoaderStateMixin
 from datasets import Dataset, load_dataset
-from nncf import NNCFConfig, compress_weights
+from nncf import NNCFConfig
 from nncf.torch import create_compressed_model, register_default_init_args, register_module
 from nncf.torch.dynamic_graph.io_handling import wrap_nncf_model_inputs_with_objwalk
 from nncf.torch.initialization import PTInitializingDataLoader
 from openvino._offline_transformations import compress_quantize_weights_transformation
 from openvino.runtime import Core, Tensor
+from torch.utils._pytree import tree_map
 from torch.utils.data import DataLoader, RandomSampler
 from transformers import DataCollator, PreTrainedModel, default_data_collator
 from transformers.pytorch_utils import Conv1D
 
+from optimum.exporters.onnx.convert import check_dummy_inputs_are_allowed
 from optimum.exporters.tasks import TasksManager
 from optimum.quantization_base import OptimumQuantizer
 
 from ...exporters.openvino import export, export_pytorch_via_onnx
-from ...exporters.openvino.stateful import ensure_export_task_support_stateful
+from ...exporters.openvino.model_patcher import patch_model_with_bettertransformer
+from ...exporters.openvino.stateful import ensure_export_task_support_stateful, ensure_stateful_is_available
 from ..utils.constant import _TASK_ALIASES
+from ..utils.modeling_utils import get_model_device
 from .configuration import OVConfig
 from .modeling_base import OVBaseModel
 from .modeling_decoder import OVBaseDecoderModel
@@ -361,9 +365,7 @@ def _quantize_ovcausallm(
             self.model.model,
             quantization_dataset,
             model_type=nncf.ModelType.TRANSFORMER if not kwargs.get("model_type") else kwargs.get("model_type"),
-            fast_bias_correction=True
-            if not kwargs.get("fast_bias_correction")
-            else kwargs.get("fast_bias_correction"),
+            fast_bias_correction=kwargs.get("fast_bias_correction", True),
             **kwargs,
         )
         self.model.model = quantized_model
@@ -405,13 +407,42 @@ def _quantize_torchmodel(
             if file_name is None and ov_config.save_onnx_model
             else Path(ov_file_name).with_suffix(".onnx")
         )
+
+        task = self.task
+        model = self.model
+        self.model.config.save_pretrained(save_directory)
+        if task.startswith("text-generation"):
+            onnx_config = onnx_config_class(
+                model.config, use_past=model.config.use_cache, use_past_in_inputs=model.config.use_cache
+            )
+            if model.config.use_cache:
+                task = "text-generation-with-past"
+        else:
+            onnx_config = onnx_config_class(model.config)
+
+        stateful = ensure_stateful_is_available() and ensure_export_task_support_stateful(task)
+
         if weights_only:
-            if getattr(self.model.config, "tie_word_embeddings", True):
-                # to fix problem with shared embedding weights in nncf compress_weights()
-                self.model.tie_weights()
-            compressed_model = compress_weights(self.model)
-            self.model = compressed_model
+            if stateful:
+                # patch model before weight compression
+                model = patch_model_with_bettertransformer(model)
+
+            dummy_inputs = onnx_config.generate_dummy_inputs(framework="pt")
+            device = get_model_device(model)
+            dummy_inputs = tree_map(
+                lambda value: value.to(device) if isinstance(value, torch.Tensor) else value, dummy_inputs
+            )
+            check_dummy_inputs_are_allowed(model, dummy_inputs)
+
+            nncf.compress_weights(model, dataset=nncf.Dataset([dummy_inputs]))
         else:
+            if stateful:
+                logger.warn(
+                    "Quantization algorithm does not support optimized stateful models. "
+                    "The original model without optimization will be quantized and export."
+                )
+                stateful = False
+
             calibration_dataloader = self._get_calibration_dataloader(
                 calibration_dataset=calibration_dataset,
                 batch_size=batch_size,
@@ -423,22 +454,10 @@ def _quantize_torchmodel(
             ov_config.add_input_info(model_inputs)
             nncf_config = NNCFConfig.from_dict(ov_config.__dict__)
             nncf_config = register_default_init_args(nncf_config, calibration_dataloader)
-            controller, compressed_model = create_compressed_model(
-                self.model, nncf_config, wrap_inputs_fn=wrap_nncf_model_inputs_with_objwalk
-            )
-            compressed_model = controller.strip(do_copy=False)
-
-        task = self.task
-        model = self.model
-        self.model.config.save_pretrained(save_directory)
-        if task.startswith("text-generation"):
-            onnx_config = onnx_config_class(
-                model.config, use_past=model.config.use_cache, use_past_in_inputs=model.config.use_cache
+            controller, model = create_compressed_model(
+                model, nncf_config, wrap_inputs_fn=wrap_nncf_model_inputs_with_objwalk
             )
-            if model.config.use_cache:
-                task = "text-generation-with-past"
-        else:
-            onnx_config = onnx_config_class(model.config)
+            model = controller.strip(do_copy=False)
 
         model_path = save_directory / (onnx_file_name if ov_config.save_onnx_model else ov_file_name)
         onnx_path = save_directory / onnx_file_name
@@ -447,7 +466,8 @@ def _quantize_torchmodel(
         opset = max(opset, MIN_ONNX_QDQ_OPSET)
         kwargs = {}
         if not ov_config.save_onnx_model:
-            kwargs = {"stateful": ensure_export_task_support_stateful(task)}
+            kwargs = {"stateful": stateful}
+
         _, _, is_onnx = export_fn(model=model, config=onnx_config, output=model_path, opset=opset, **kwargs)
         if is_onnx:
             # Load and save the compressed model
diff --git a/optimum/intel/utils/modeling_utils.py b/optimum/intel/utils/modeling_utils.py
index 1a3b6fbede..99ad42aafa 100644
--- a/optimum/intel/utils/modeling_utils.py
+++ b/optimum/intel/utils/modeling_utils.py
@@ -148,3 +148,24 @@ def patch_decoder_attention_mask(model: "PreTrainedModel"):
     elif model.config.model_type in {"blenderbot-small", "blenderbot", "opt", "pegasus", "bart"}:
         model.model.decoder._prepare_decoder_attention_mask = _prepare_decoder_attention_mask
     return model
+
+
+def get_model_device(model: torch.nn.Module) -> torch.device:
+    """
+    Determines the device on which a PyTorch model is currently residing.
+
+    Args:
+        model: The PyTorch model to query.
+
+    Returns:
+        torch.device: The device where the model's parameters are located.
+
+    Raises:
+        StopIteration: If the model has no parameters.
+    """
+    try:
+        device = next(model.parameters()).device
+    except StopIteration:
+        # The model had no parameters at all, doesn't matter which device to choose
+        device = torch.device("cpu")
+    return device