diff --git a/Lib/test/sha256.pem b/Lib/test/sha256.pem
new file mode 100644
index 0000000..01878e9
--- /dev/null
+++ b/Lib/test/sha256.pem
@@ -0,0 +1,33 @@
+-----BEGIN CERTIFICATE-----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+-----END CERTIFICATE-----
diff --git a/Lib/test/test_ssl.py b/Lib/test/test_ssl.py
index 5cfe7f1..ad58647 100644
--- a/Lib/test/test_ssl.py
+++ b/Lib/test/test_ssl.py
@@ -190,6 +190,26 @@
         if test_support.verbose:
             sys.stdout.write("\nVerified certificate for svn.python.org:443 is\n%s\n" % pem)
 
+    def test_algorithms(self):
+        # Issue #8484: all algorithms should be available when verifying a
+        # certificate.
+        # NOTE: https://sha256.tbs-internet.com is another possible test host
+        remote = ("sha2.hboeck.de", 443)
+        sha256_cert = os.path.join(os.path.dirname(__file__), "sha256.pem")
+        s = ssl.wrap_socket(socket.socket(socket.AF_INET),
+                            cert_reqs=ssl.CERT_REQUIRED,
+                            ca_certs=sha256_cert,)
+        with test_support.transient_internet():
+            try:
+                s.connect(remote)
+                if test_support.verbose:
+                    sys.stdout.write("\nCipher with %r is %r\n" %
+                                     (remote, s.cipher()))
+                    sys.stdout.write("Certificate is:\n%s\n" %
+                                     pprint.pformat(s.getpeercert()))
+            finally:
+                s.close()
+
 
 try:
     import threading