diff --git a/oslo_utils/fileutils.py b/oslo_utils/fileutils.py
index e2b09173..909ed4b9 100644
--- a/oslo_utils/fileutils.py
+++ b/oslo_utils/fileutils.py
@@ -25,6 +25,7 @@ import hashlib
 import os
 import stat
 import tempfile
+import time
 
 from oslo_utils import excutils
 
@@ -123,6 +124,8 @@ def compute_file_checksum(path, read_chunksize=65536, algorithm='sha256'):
     with open(path, 'rb') as f:
         for chunk in iter(lambda: f.read(read_chunksize), b''):
             checksum.update(chunk)
+            # Release greenthread, if greenthreads are not used it is a noop.
+            time.sleep(0)
     return checksum.hexdigest()
 
 
diff --git a/oslo_utils/tests/test_fileutils.py b/oslo_utils/tests/test_fileutils.py
index d34a38b4..7e089c81 100644
--- a/oslo_utils/tests/test_fileutils.py
+++ b/oslo_utils/tests/test_fileutils.py
@@ -19,6 +19,8 @@ import os
 import shutil
 import stat
 import tempfile
+import time
+from unittest import mock
 import uuid
 
 from oslotest import base as test_base
@@ -215,6 +217,23 @@ class TestComputeFileChecksum(test_base.BaseTestCase):
 
         self.assertEqual(expected_checksum.hexdigest(), actual_checksum)
 
+    def test_compute_checksum_sleep_0_called(self):
+        path = fileutils.write_to_tempfile(self.content)
+        self.assertTrue(os.path.exists(path))
+        self.check_file_content(self.content, path)
+
+        expected_checksum = hashlib.sha256()
+        expected_checksum.update(self.content)
+
+        with mock.patch.object(time, "sleep") as sleep_mock:
+            actual_checksum = fileutils.compute_file_checksum(
+                path, read_chunksize=4)
+
+        sleep_mock.assert_has_calls([mock.call(0)] * 3)
+        # Just to make sure that there were exactly 3 calls
+        self.assertEqual(3, sleep_mock.call_count)
+        self.assertEqual(expected_checksum.hexdigest(), actual_checksum)
+
     def test_compute_checksum_named_algorithm(self):
         path = fileutils.write_to_tempfile(self.content)
         self.assertTrue(os.path.exists(path))