diff --git a/outlines/integrations/vllm.py b/outlines/integrations/vllm.py
index 6ed56d71b..595f246a0 100644
--- a/outlines/integrations/vllm.py
+++ b/outlines/integrations/vllm.py
@@ -27,7 +27,7 @@
 
 import math
 from collections import defaultdict
-from typing import TYPE_CHECKING, DefaultDict, List, Optional, Type, Union
+from typing import TYPE_CHECKING, DefaultDict, List, Optional, Tuple, Type, Union
 
 import torch
 from pydantic import BaseModel
@@ -101,11 +101,30 @@ def __call__(self, input_ids: List[int], scores: torch.Tensor) -> torch.Tensor:
         # Initialize the FSM state dictionary if the input_ids are empty, as this means
         # that the input_ids are the first tokens of the sequence.
         if len(input_ids) > 0:
-            last_token = input_ids[-1]
-            last_seq_id = hash(tuple(input_ids[:-1]))
-            self._fsm_state[seq_id] = self.fsm.get_next_state(
-                state=self._fsm_state[last_seq_id], token_id=last_token
-            )
+            # create stack of sequence offsets to proces
+            # typically (without fast-forward) only the most recent single sequence offset
+            # is processed, and the FSM only advances by one state
+
+            token_seq_transitions: List[Tuple[int, int, int]] = []
+
+            next_seq_id = seq_id
+            for offset in range(1, len(input_ids) + 1):
+                prev_seq = input_ids[:-offset]
+                prev_seq_id = hash(tuple(prev_seq))
+                token_seq_transitions.append(
+                    (input_ids[-offset], prev_seq_id, next_seq_id)
+                )
+                if prev_seq_id in self._fsm_state:
+                    break
+                next_seq_id = prev_seq_id
+            else:
+                raise RuntimeError("Failed to find a prior processed sequence in FSM")
+
+            # apply all unfulfilled fsm state transitions
+            for token, prev_seq_id, next_seq_id in reversed(token_seq_transitions):
+                self._fsm_state[next_seq_id] = self.fsm.get_next_state(
+                    state=self._fsm_state[prev_seq_id], token_id=token
+                )
 
         allowed_tokens = self.fsm.get_next_instruction(
             state=self._fsm_state[seq_id]
diff --git a/tests/generate/test_integration_vllm.py b/tests/generate/test_integration_vllm.py
index 4634bc839..032790bf2 100644
--- a/tests/generate/test_integration_vllm.py
+++ b/tests/generate/test_integration_vllm.py
@@ -1,5 +1,6 @@
 import datetime
 import re
+from unittest.mock import MagicMock, patch
 
 import pytest
 import torch
@@ -10,6 +11,7 @@
 import outlines.grammars as grammars
 import outlines.models as models
 import outlines.samplers as samplers
+from outlines.integrations.vllm import RegexLogitsProcessor
 
 pytestmark = pytest.mark.skipif(
     not torch.cuda.is_available(), reason="vLLM models can only be run on GPU."
@@ -237,3 +239,32 @@ def test_vllm_cfg(model):
     prompt = "<|im_start|>user\nOutput a short and valid JSON object with two keys.<|im_end|>\n><|im_start|>assistant\n"
     result = generate.cfg(model, grammars.arithmetic)(prompt, seed=11)
     assert isinstance(result, str)
+
+
+def test_multiple_tokens_fast_forward_regex_logits_processor():
+    """Reproduces https://github.com/outlines-dev/outlines/issues/855"""
+
+    # Create a RegexLogitsProcessor and call it with non-incremental (fast-forward) sequences
+
+    class MockTokenizer:
+        vocabulary = {"1": 1, "a": 2, "eos": 3}
+        special_tokens = {"eos"}
+        eos_token_id = 3
+
+        def convert_token_to_string(self, token):
+            return token
+
+    mock_scores = torch.tensor([0.5, 0.5, 0.5, 0.5])
+
+    with patch(
+        "outlines.integrations.vllm.adapt_tokenizer", return_value=MockTokenizer()
+    ):
+        lp = RegexLogitsProcessor(r".*", MagicMock())
+
+        # patch DefaultDict -> dict, ensure KeyError for unseen non-initial sequences
+        lp._fsm_state = {hash(tuple()): 0}
+
+        lp([], mock_scores)
+        lp([1], mock_scores)
+        lp([1, 2], mock_scores)
+        lp([1, 2, 3, 4], mock_scores)