diff --git a/langchain/retrievers/document_compressors/chain_extract.py b/langchain/retrievers/document_compressors/chain_extract.py
index 71b4bc13..9b7947c4 100644
--- a/langchain/retrievers/document_compressors/chain_extract.py
+++ b/langchain/retrievers/document_compressors/chain_extract.py
@@ -1,6 +1,7 @@
 """DocumentFilter that uses an LLM chain to extract the relevant parts of documents."""
 from __future__ import annotations
 
+import asyncio
 from typing import Any, Callable, Dict, Optional, Sequence
 
 from langchain import LLMChain, PromptTemplate
@@ -62,7 +63,21 @@ class LLMChainExtractor(BaseDocumentCompressor):
     async def acompress_documents(
         self, documents: Sequence[Document], query: str
     ) -> Sequence[Document]:
-        raise NotImplementedError
+        """Compress page content of raw documents asynchronously."""
+        outputs = await asyncio.gather(
+            *[
+                self.llm_chain.apredict_and_parse(**self.get_input(query, doc))
+                for doc in documents
+            ]
+        )
+        compressed_docs = []
+        for i, doc in enumerate(documents):
+            if len(outputs[i]) == 0:
+                continue
+            compressed_docs.append(
+                Document(page_content=outputs[i], metadata=doc.metadata)
+            )
+        return compressed_docs
 
     @classmethod
     def from_llm(