diff --git a/setup.py b/setup.py
index a9f93e780..fba810a93 100644
--- a/setup.py
+++ b/setup.py
@@ -45,7 +45,7 @@ install_requires = [
     # we are rather picky about msgpack versions, because a good working msgpack is
     # very important for borg, see https://github.com/borgbackup/borg/issues/3753
     # as of now, 0.5.6 and 0.6.0 are the only preferred versions of msgpack:
-    'msgpack >=0.5.6, !=0.5.7, !=0.5.8, !=0.5.9, <=0.6.0',
+    'msgpack >=0.5.6, !=0.5.7, !=0.5.8, !=0.5.9, <=0.6.1',
     # if you can't satisfy the above requirement, these are versions that might
     # also work ok, IF you make sure to use the COMPILED version of msgpack-python,
     # NOT the PURE PYTHON fallback implementation: ==0.5.1, ==0.5.4
diff --git a/src/borg/helpers/msgpack.py b/src/borg/helpers/msgpack.py
index 70ed940cd..cc52403b1 100644
--- a/src/borg/helpers/msgpack.py
+++ b/src/borg/helpers/msgpack.py
@@ -172,7 +172,7 @@ def is_slow_msgpack():
 def is_supported_msgpack():
     # DO NOT CHANGE OR REMOVE! See also requirements and comments in setup.py.
     import msgpack
-    return (0, 5, 6) <= msgpack.version <= (0, 6, 0) and \
+    return (0, 5, 6) <= msgpack.version <= (0, 6, 1) and \
            msgpack.version not in [(0, 5, 7), (0, 5, 8), (0, 5, 9)]