diff --git a/python-stdlib/hashlib/hashlib/__init__.py b/python-stdlib/hashlib/hashlib/__init__.py
index d7afbf819..86fd8d42f 100644
--- a/python-stdlib/hashlib/hashlib/__init__.py
+++ b/python-stdlib/hashlib/hashlib/__init__.py
@@ -6,11 +6,18 @@
 
 def init():
     for i in ("sha1", "sha224", "sha256", "sha384", "sha512"):
-        c = getattr(uhashlib, i, None)
-        if not c:
+        # first try to import the python-stdlib hash so that we are compatible
+        # with e.g. hmac (uhashlib lacks {digest,block}_size, copy())
+        try:
             c = __import__("_" + i, None, None, (), 1)
             c = getattr(c, i)
-        globals()[i] = c
+        except ImportError:
+            c = None
+        # fallback to uhashlib (e.g. sha1)
+        if not c:
+            c = getattr(uhashlib, i, None)
+        if c:
+            globals()[i] = c
 
 
 init()
diff --git a/python-stdlib/hashlib/test_hashlib.py b/python-stdlib/hashlib/test_hashlib.py
index 6cb687399..812248ae2 100644
--- a/python-stdlib/hashlib/test_hashlib.py
+++ b/python-stdlib/hashlib/test_hashlib.py
@@ -9,6 +9,11 @@
 import hashlib
 
 patterns = [
+    (
+        "sha1",
+        b"1234",
+        b"q\x10\xed\xa4\xd0\x9e\x06*\xa5\xe4\xa3\x90\xb0\xa5r\xac\r,\x02\x20",
+    ),
     (
         "sha224",
         b"1234",