diff --git a/vllm/engine/llm_engine.py b/vllm/engine/llm_engine.py
index 2347cdee..46440537 100644
--- a/vllm/engine/llm_engine.py
+++ b/vllm/engine/llm_engine.py
@@ -2062,7 +2062,7 @@ class LLMEngine:
                 raise ValueError(f"The {prompt_type} prompt cannot be empty")
 
         max_prompt_len = self.model_config.max_model_len
-        if len(prompt_ids) >= max_prompt_len:
+        if len(prompt_ids) > max_prompt_len:
             if prompt_type == "encoder" and model_config.is_multimodal_model:
                 mm_registry = self.input_preprocessor.mm_registry
                 mm_processor = mm_registry.create_processor(
diff --git a/vllm/v1/engine/processor.py b/vllm/v1/engine/processor.py
index be7e3709..afbbddb8 100644
--- a/vllm/v1/engine/processor.py
+++ b/vllm/v1/engine/processor.py
@@ -354,7 +354,7 @@ class Processor:
             raise ValueError(f"Token id {max_input_id} is out of vocabulary")
 
         max_prompt_len = self.model_config.max_model_len
-        if len(prompt_ids) >= max_prompt_len:
+        if len(prompt_ids) > max_prompt_len:
             if prompt_type == "encoder" and model_config.is_multimodal_model:
                 mm_registry = self.input_preprocessor.mm_registry
                 mm_processor = mm_registry.create_processor(