diff --git a/CHANGELOG.md b/CHANGELOG.md
index a580bca..02dc419 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -8,6 +8,9 @@ The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/).
 ### Added
 - Support for identity cmap's ([#626](https://github.com/pdfminer/pdfminer.six/pull/626))
 
+### Fixed
+- Hande decompression error due to CRC checksum error ([#637](https://github.com/pdfminer/pdfminer.six/pull/637))
+
 ## [20211012]
 
 ### Added
diff --git a/pdfminer/pdfdocument.py b/pdfminer/pdfdocument.py
index 8858970..cac09f2 100644
--- a/pdfminer/pdfdocument.py
+++ b/pdfminer/pdfdocument.py
@@ -40,7 +40,7 @@ class PDFEncryptionError(PDFException):
     pass
 
 
-class PDFPasswordIncorrect(PDFEncryptionError):
+class PDFEncryptionWarning(UserWarning):
     pass
 
 
diff --git a/pdfminer/pdftypes.py b/pdfminer/pdftypes.py
index 6190ea9..5e0ef60 100644
--- a/pdfminer/pdftypes.py
+++ b/pdfminer/pdftypes.py
@@ -1,8 +1,11 @@
 import zlib
+import warnings
 import logging
+import io
 import sys
 from typing import (TYPE_CHECKING, Any, Dict, Iterable, Optional, Union, List,
                     Tuple, cast)
+
 from .lzw import lzwdecode
 from .ascii85 import ascii85decode
 from .ascii85 import asciihexdecode
@@ -216,6 +219,29 @@ def stream_value(x: object) -> "PDFStream":
     return x
 
 
+def decompress_corrupted(data):
+    """Called on some data that can't be properly decoded because of CRC checksum
+    error. Attempt to decode it skipping the CRC.
+    """
+    d = zlib.decompressobj()
+    f = io.BytesIO(data)
+    result_str = b''
+    buffer = f.read(1)
+    i = 0
+    try:
+        while buffer:
+            result_str += d.decompress(buffer)
+            buffer = f.read(1)
+            i += 1
+    except zlib.error:
+        # Let the error propagates if we're not yet in the CRC checksum
+        if i < len(data) - 3:
+            # Import here to prevent circualr import
+            from .pdfdocument import PDFEncryptionWarning
+            warnings.warn("Data-loss while decompressing corrupted data", PDFEncryptionWarning)
+    return result_str
+
+
 class PDFStream(PDFObject):
 
     def __init__(
@@ -303,12 +329,18 @@ class PDFStream(PDFObject):
                 # will get errors if the document is encrypted.
                 try:
                     data = zlib.decompress(data)
+
                 except zlib.error as e:
                     if settings.STRICT:
                         error_msg = 'Invalid zlib bytes: {!r}, {!r}'\
                             .format(e, data)
                         raise PDFException(error_msg)
-                    data = b''
+
+                    try:
+                        data = decompress_corrupted(data)
+                    except zlib.error:
+                        data = b''
+
             elif f in LITERALS_LZW_DECODE:
                 data = lzwdecode(data)
             elif f in LITERALS_ASCII85_DECODE:
diff --git a/samples/zen_of_python_corrupted.pdf b/samples/zen_of_python_corrupted.pdf
new file mode 100644
index 0000000..cbe0156
Binary files /dev/null and b/samples/zen_of_python_corrupted.pdf differ
diff --git a/tests/test_highlevel_extracttext.py b/tests/test_highlevel_extracttext.py
index 3c9f991..3fa41ea 100644
--- a/tests/test_highlevel_extracttext.py
+++ b/tests/test_highlevel_extracttext.py
@@ -31,6 +31,7 @@ test_strings = {
     "simple3.pdf": "Hello\n\nHello\nあ\nい\nう\nえ\nお\nあ\nい\nう\nえ\nお\n"
                    "World\n\nWorld\n\n\f",
     "simple4.pdf": "Text1\nText2\nText3\n\n\f",
+    "zen_of_python_corrupted.pdf": "Mai 30, 18 13:27\n\nzen_of_python.txt",
     "contrib/issue_566_test_1.pdf": "ISSUE Date：2019-4-25 Buyer：黎荣",
     "contrib/issue_566_test_2.pdf": "甲方：中国饮料有限公司（盖章）",
     "contrib/issue-625-identity-cmap.pdf": "Termin płatności: 2021-05-03",
@@ -83,6 +84,12 @@ class TestExtractText(unittest.TestCase):
         s = run_with_file(test_file)
         self.assertEqual(s, test_strings[test_file])
 
+    def test_zlib_corrupted(self):
+        test_file = "zen_of_python_corrupted.pdf"
+        s = run_with_file(test_file)
+        expected = test_strings[test_file]
+        self.assertEqual(s[:len(expected)], expected)
+
     def test_issue_566_cmap_bytes(self):
         test_file = "contrib/issue_566_test_1.pdf"
         s = run_with_file(test_file)