diff --git a/Lib/test/test_ssl.py b/Lib/test/test_ssl.py
index b41ce98a6d9940..559eea9fbabf6b 100644
--- a/Lib/test/test_ssl.py
+++ b/Lib/test/test_ssl.py
@@ -610,6 +610,8 @@ def test_openssl111_deprecations(self):
                 )
 
         for protocol in protocols:
+            if not has_tls_protocol(protocol):
+                continue
             with self.subTest(protocol=protocol):
                 with self.assertWarns(DeprecationWarning) as cm:
                     ssl.SSLContext(protocol)
@@ -619,6 +621,8 @@ def test_openssl111_deprecations(self):
                 )
 
         for version in versions:
+            if not has_tls_version(version):
+                continue
             with self.subTest(version=version):
                 ctx = ssl.SSLContext(ssl.PROTOCOL_TLS_CLIENT)
                 with self.assertWarns(DeprecationWarning) as cm:
@@ -934,9 +938,10 @@ class ContextTests(unittest.TestCase):
 
     def test_constructor(self):
         for protocol in PROTOCOLS:
-            with warnings_helper.check_warnings():
-                ctx = ssl.SSLContext(protocol)
-            self.assertEqual(ctx.protocol, protocol)
+            if has_tls_protocol(protocol):
+                with warnings_helper.check_warnings():
+                    ctx = ssl.SSLContext(protocol)
+                self.assertEqual(ctx.protocol, protocol)
         with warnings_helper.check_warnings():
             ctx = ssl.SSLContext()
         self.assertEqual(ctx.protocol, ssl.PROTOCOL_TLS)
@@ -1081,7 +1086,7 @@ def test_min_max_version(self):
         ctx.maximum_version = ssl.TLSVersion.MINIMUM_SUPPORTED
         self.assertIn(
             ctx.maximum_version,
-            {ssl.TLSVersion.TLSv1, ssl.TLSVersion.SSLv3}
+            {ssl.TLSVersion.TLSv1, ssl.TLSVersion.TLSv1_1, ssl.TLSVersion.SSLv3}
         )
 
         ctx.minimum_version = ssl.TLSVersion.MAXIMUM_SUPPORTED
@@ -1093,19 +1098,19 @@ def test_min_max_version(self):
         with self.assertRaises(ValueError):
             ctx.minimum_version = 42
 
-        ctx = ssl.SSLContext(ssl.PROTOCOL_TLSv1_1)
-
-        self.assertIn(
-            ctx.minimum_version, minimum_range
-        )
-        self.assertEqual(
-            ctx.maximum_version, ssl.TLSVersion.MAXIMUM_SUPPORTED
-        )
-        with self.assertRaises(ValueError):
-            ctx.minimum_version = ssl.TLSVersion.MINIMUM_SUPPORTED
-        with self.assertRaises(ValueError):
-            ctx.maximum_version = ssl.TLSVersion.TLSv1
+        if has_tls_protocol(ssl.PROTOCOL_TLSv1_1):
+            ctx = ssl.SSLContext(ssl.PROTOCOL_TLSv1_1)
 
+            self.assertIn(
+                ctx.minimum_version, minimum_range
+            )
+            self.assertEqual(
+                ctx.maximum_version, ssl.TLSVersion.MAXIMUM_SUPPORTED
+            )
+            with self.assertRaises(ValueError):
+                ctx.minimum_version = ssl.TLSVersion.MINIMUM_SUPPORTED
+            with self.assertRaises(ValueError):
+                ctx.maximum_version = ssl.TLSVersion.TLSv1
 
     @unittest.skipUnless(
         hasattr(ssl.SSLContext, 'security_level'),
@@ -1502,8 +1507,6 @@ def test_create_default_context(self):
         self.assertEqual(ctx.verify_mode, ssl.CERT_NONE)
         self._assert_context_options(ctx)
 
-
-
     def test__create_stdlib_context(self):
         ctx = ssl._create_stdlib_context()
         self.assertEqual(ctx.protocol, ssl.PROTOCOL_TLS_CLIENT)
@@ -1511,11 +1514,12 @@ def test__create_stdlib_context(self):
         self.assertFalse(ctx.check_hostname)
         self._assert_context_options(ctx)
 
-        with warnings_helper.check_warnings():
-            ctx = ssl._create_stdlib_context(ssl.PROTOCOL_TLSv1)
-        self.assertEqual(ctx.protocol, ssl.PROTOCOL_TLSv1)
-        self.assertEqual(ctx.verify_mode, ssl.CERT_NONE)
-        self._assert_context_options(ctx)
+        if has_tls_protocol(ssl.PROTOCOL_TLSv1):
+            with warnings_helper.check_warnings():
+                ctx = ssl._create_stdlib_context(ssl.PROTOCOL_TLSv1)
+            self.assertEqual(ctx.protocol, ssl.PROTOCOL_TLSv1)
+            self.assertEqual(ctx.verify_mode, ssl.CERT_NONE)
+            self._assert_context_options(ctx)
 
         with warnings_helper.check_warnings():
             ctx = ssl._create_stdlib_context(
@@ -3249,10 +3253,12 @@ def test_protocol_tlsv1_2(self):
                            client_options=ssl.OP_NO_TLSv1_2)
 
         try_protocol_combo(ssl.PROTOCOL_TLS, ssl.PROTOCOL_TLSv1_2, 'TLSv1.2')
-        try_protocol_combo(ssl.PROTOCOL_TLSv1_2, ssl.PROTOCOL_TLSv1, False)
-        try_protocol_combo(ssl.PROTOCOL_TLSv1, ssl.PROTOCOL_TLSv1_2, False)
-        try_protocol_combo(ssl.PROTOCOL_TLSv1_2, ssl.PROTOCOL_TLSv1_1, False)
-        try_protocol_combo(ssl.PROTOCOL_TLSv1_1, ssl.PROTOCOL_TLSv1_2, False)
+        if has_tls_protocol(ssl.PROTOCOL_TLSv1):
+            try_protocol_combo(ssl.PROTOCOL_TLSv1_2, ssl.PROTOCOL_TLSv1, False)
+            try_protocol_combo(ssl.PROTOCOL_TLSv1, ssl.PROTOCOL_TLSv1_2, False)
+        if has_tls_protocol(ssl.PROTOCOL_TLSv1_1):
+            try_protocol_combo(ssl.PROTOCOL_TLSv1_2, ssl.PROTOCOL_TLSv1_1, False)
+            try_protocol_combo(ssl.PROTOCOL_TLSv1_1, ssl.PROTOCOL_TLSv1_2, False)
 
     def test_starttls(self):
         """Switching from clear text to encrypted and back again."""
diff --git a/Misc/NEWS.d/next/Tests/2022-06-27-21-27-20.gh-issue-94208.VR6HX-.rst b/Misc/NEWS.d/next/Tests/2022-06-27-21-27-20.gh-issue-94208.VR6HX-.rst
new file mode 100644
index 00000000000000..d0f970ad286b1d
--- /dev/null
+++ b/Misc/NEWS.d/next/Tests/2022-06-27-21-27-20.gh-issue-94208.VR6HX-.rst
@@ -0,0 +1,2 @@
+``test_ssl`` is now checking for supported TLS version and protocols in more
+tests.