diff --git a/src/distilabel/llm/base.py b/src/distilabel/llm/base.py
index 1306984e2b..0bd9189bd5 100644
--- a/src/distilabel/llm/base.py
+++ b/src/distilabel/llm/base.py
@@ -247,8 +247,13 @@ class _TextGenerationResult:
     """An object used to transfer the text generation results from the `_GenerationProcess`
     to the `_BridgeThread`."""
 
-    def __init__(self, generations) -> None:
+    def __init__(
+        self,
+        generations: Union[List[List["LLMOutput"]], None] = None,
+        exception: Union[Exception, None] = None,
+    ) -> None:
         self.generations = generations
+        self.exception = exception
 
 
 class _GenerationProcess(mp.Process):
@@ -314,13 +319,26 @@ def run(self) -> None:
 
             # Perform generation
             logger.debug(f"Process with '{name}' received request...")
-            results = llm.generate(
-                inputs=request.inputs, num_generations=request.num_generations
-            )
+            try:
+                generations = llm.generate(
+                    inputs=request.inputs, num_generations=request.num_generations
+                )
+            except Exception as e:
+                logger.error(
+                    f"Process with '{name}' failed to perform generation with error: {e}"
+                )
+                generations = e
 
-            generations = results.result() if isinstance(results, Future) else results
+            if isinstance(generations, Exception):
+                text_generation_result = _TextGenerationResult(exception=generations)
+            elif isinstance(generations, Future):
+                text_generation_result = _TextGenerationResult(
+                    generations=generations.result()
+                )
+            else:
+                text_generation_result = _TextGenerationResult(generations=generations)
 
-            self._result_queue.put(_TextGenerationResult(generations))
+            self._result_queue.put(text_generation_result)
 
     def stop(self) -> None:
         """Stops the infinite loop of the generation process."""
@@ -361,7 +379,7 @@ def __init__(self, process_llm: "ProcessLLM") -> None:
 
         self._model_name = process_llm._model_name
 
-        super().__init__()
+        super().__init__(daemon=True)
 
     def _wait_llm_loaded(self) -> None:
         """Waits for the generation process to load the `LLM`."""
@@ -407,10 +425,19 @@ def _process_request(self) -> bool:
         self._call_generation_process(tg_request)
 
         # Get the text generation result from the child process
-        generation_result = self._get_result_generation_process()
+        logger.debug(
+            f"Bridge thread waiting for generation result with request id {text_generation_request_id}..."
+        )
+        generation_result = self._result_queue.get()
+        if generation_result == -1:
+            return True
 
-        # Set the result of the text generation request
-        tg_request.future.set_result(generation_result.generations)
+        if generation_result.exception is not None:
+            # Set the exception of the text generation request
+            tg_request.future.set_exception(generation_result.exception)
+        else:
+            # Set the result of the text generation request
+            tg_request.future.set_result(generation_result.generations)
 
         return False
 
@@ -426,9 +453,15 @@ def run(self) -> None:
             if should_stop:
                 break
 
+        logger.debug("Bridge thread stopped!")
+
     def stop(self) -> None:
         """Stops the infinite loop of the bridge thread."""
         self._text_generation_request_ids_queue.put(-1)
+        # This is for making sure that if the bridge thread has sent a request to the
+        # generation process, and the generation process is stopped before sending the
+        # result, the bridge thread will not get blocked waiting for the result.
+        self._result_queue.put(-1)
 
 
 class ProcessLLM:
@@ -488,8 +521,12 @@ def _start_bridge_thread(self) -> None:
         if self._bridge_thread is None:
             self._generation_process = _GenerationProcess(self)
             self._generation_process.start()
+            pid = self._generation_process.pid
+            logger.debug(f"Generation process with PID {pid} started!")
+
             self._bridge_thread = _BridgeThread(self)
             self._bridge_thread.start()
+            logger.debug("Bridge thread for process with PID {pid} started!")
 
     def _add_text_generation_request(
         self,
@@ -577,6 +614,7 @@ class LLMPool:
     - If `num_generations` is less than the number of `LLM`s, then `num_generations` LLMs
     will be chosen randomly and each of them will perform 1 generation.
 
+
     - If `num_generations` is equal to the number of `LLM`s, then each `LLM` will perform
     1 generation.
 
diff --git a/src/distilabel/pipeline.py b/src/distilabel/pipeline.py
index 4309067807..308cbe3331 100644
--- a/src/distilabel/pipeline.py
+++ b/src/distilabel/pipeline.py
@@ -209,28 +209,7 @@ def _get_batch_generations(
         )
         batch_generations = []
         if isinstance(outputs, Future):
-            try:
-                # Result of future is `List[List[LLMOutput]]` (first list contains `batch_size`
-                # elements, and the second list contains `num_generations` elements)
-                batch_generations.extend(outputs.result())
-            except Exception as e:
-                logger.error(
-                    f"An error occured when getting the result from the generator: {e}"
-                )
-                batch_generations.extend(
-                    [
-                        [
-                            LLMOutput(
-                                model_name=self.generator.model_name,
-                                prompt_used=None,
-                                raw_output=None,
-                                parsed_output=None,
-                            )
-                            for _ in range(num_generations)
-                        ]
-                        for _ in range(num_batches)
-                    ]
-                )
+            batch_generations.extend(outputs.result())
         else:
             batch_generations = outputs
         return self._process_batch_generations(