diff --git a/src/transformers/generation/streamers.py b/src/transformers/generation/streamers.py
index c75b43466af7a8..7f03fad1306b10 100644
--- a/src/transformers/generation/streamers.py
+++ b/src/transformers/generation/streamers.py
@@ -34,6 +34,10 @@ def end(self):
         """Function that is called by `.generate()` to signal the end of generation"""
         raise NotImplementedError()
 
+    def is_running(self) -> bool:
+        """Function that is called by `.generate()` to check if the streamer has ended"""
+        raise NotImplementedError()
+
 
 class TextStreamer(BaseStreamer):
     """
@@ -69,7 +73,9 @@ class TextStreamer(BaseStreamer):
         ```
     """
 
-    def __init__(self, tokenizer: "AutoTokenizer", skip_prompt: bool = False, **decode_kwargs):
+    def __init__(
+        self, tokenizer: "AutoTokenizer", skip_prompt: bool = False, **decode_kwargs
+    ):
         self.tokenizer = tokenizer
         self.skip_prompt = skip_prompt
         self.decode_kwargs = decode_kwargs
@@ -203,12 +209,17 @@ class TextIteratorStreamer(TextStreamer):
     """
 
     def __init__(
-        self, tokenizer: "AutoTokenizer", skip_prompt: bool = False, timeout: Optional[float] = None, **decode_kwargs
+        self,
+        tokenizer: "AutoTokenizer",
+        skip_prompt: bool = False,
+        timeout: Optional[float] = None,
+        **decode_kwargs
     ):
         super().__init__(tokenizer, skip_prompt, **decode_kwargs)
         self.text_queue = Queue()
         self.stop_signal = None
         self.timeout = timeout
+        self.stopped = False
 
     def on_finalized_text(self, text: str, stream_end: bool = False):
         """Put the new text in the queue. If the stream is ending, also put a stop signal in the queue."""
@@ -216,6 +227,13 @@ def on_finalized_text(self, text: str, stream_end: bool = False):
         if stream_end:
             self.text_queue.put(self.stop_signal, timeout=self.timeout)
 
+    def end(self):
+        self.stopped = True
+        self.on_finalized_text("", stream_end=True)
+
+    def is_running(self) -> bool:
+        return not self.stopped
+
     def __iter__(self):
         return self
 
diff --git a/src/transformers/generation/utils.py b/src/transformers/generation/utils.py
index 1d7eef755bf984..a58fbf70fc28c1 100644
--- a/src/transformers/generation/utils.py
+++ b/src/transformers/generation/utils.py
@@ -2164,6 +2164,8 @@ def _contrastive_search(
             input_ids = torch.cat([input_ids, next_tokens[:, None]], dim=-1)
             if streamer is not None:
                 streamer.put(next_tokens.cpu())
+                if not streamer.is_running():
+                    break
             model_kwargs = self._update_model_kwargs_for_generation(
                 outputs, model_kwargs, is_encoder_decoder=self.config.is_encoder_decoder, model_inputs=model_inputs
             )
@@ -2450,6 +2452,8 @@ def _greedy_search(
             input_ids = torch.cat([input_ids, next_tokens[:, None]], dim=-1)
             if streamer is not None:
                 streamer.put(next_tokens.cpu())
+                if not streamer.is_running():
+                    break
             model_kwargs = self._update_model_kwargs_for_generation(
                 outputs,
                 model_kwargs,
@@ -2752,6 +2756,8 @@ def _sample(
             input_ids = torch.cat([input_ids, next_tokens[:, None]], dim=-1)
             if streamer is not None:
                 streamer.put(next_tokens.cpu())
+                if not streamer.is_running():
+                    break
             model_kwargs = self._update_model_kwargs_for_generation(
                 outputs, model_kwargs, is_encoder_decoder=self.config.is_encoder_decoder, model_inputs=model_inputs
             )
@@ -4612,6 +4618,8 @@ def _assisted_decoding(
             input_ids = torch.cat((input_ids, valid_tokens), dim=-1)
             if streamer is not None:
                 streamer.put(valid_tokens.cpu())
+                if not streamer.is_running():
+                    break
             new_cur_len = input_ids.shape[-1]
 
             # 4.2. Discard past key values relative to unused assistant tokens