diff --git a/Lib/test/support/socket_helper.py b/Lib/test/support/socket_helper.py
index 754af181ec922e..42b2a93398cbf7 100644
--- a/Lib/test/support/socket_helper.py
+++ b/Lib/test/support/socket_helper.py
@@ -11,6 +11,9 @@
 HOSTv4 = "127.0.0.1"
 HOSTv6 = "::1"
 
+# WASI SDK 15.0 does not provide gethostname, stub raises OSError ENOTSUP.
+has_gethostname = not support.is_wasi
+
 
 def find_unused_port(family=socket.AF_INET, socktype=socket.SOCK_STREAM):
     """Returns an unused port that should be suitable for binding.  This is
diff --git a/Lib/test/test_mailbox.py b/Lib/test/test_mailbox.py
index 20c460e300cc9d..07c2764dfd1b2f 100644
--- a/Lib/test/test_mailbox.py
+++ b/Lib/test/test_mailbox.py
@@ -10,12 +10,17 @@
 import tempfile
 from test import support
 from test.support import os_helper
+from test.support import socket_helper
 import unittest
 import textwrap
 import mailbox
 import glob
 
 
+if not socket_helper.has_gethostname:
+    raise unittest.SkipTest("test requires gethostname()")
+
+
 class TestBase:
 
     all_mailbox_types = (mailbox.Message, mailbox.MaildirMessage,
diff --git a/Lib/test/test_mailcap.py b/Lib/test/test_mailcap.py
index 97a8fac6e074ad..d3995b14720e66 100644
--- a/Lib/test/test_mailcap.py
+++ b/Lib/test/test_mailcap.py
@@ -221,6 +221,10 @@ def test_findmatch(self):
 
     @unittest.skipUnless(os.name == "posix", "Requires 'test' command on system")
     @unittest.skipIf(sys.platform == "vxworks", "'test' command is not supported on VxWorks")
+    @unittest.skipUnless(
+        test.support.has_subprocess_support,
+        "'test' command needs process support."
+    )
     def test_test(self):
         # findmatch() will automatically check any "test" conditions and skip
         # the entry if the check fails.
diff --git a/Lib/test/test_smtpd.py b/Lib/test/test_smtpd.py
index 57eb98ebc1d1ef..39ff8793648ba6 100644
--- a/Lib/test/test_smtpd.py
+++ b/Lib/test/test_smtpd.py
@@ -10,6 +10,9 @@
 smtpd = warnings_helper.import_deprecated('smtpd')
 asyncore = warnings_helper.import_deprecated('asyncore')
 
+if not socket_helper.has_gethostname:
+    raise unittest.SkipTest("test requires gethostname()")
+
 
 class DummyServer(smtpd.SMTPServer):
     def __init__(self, *args, **kwargs):
diff --git a/Lib/test/test_support.py b/Lib/test/test_support.py
index 7a8b6819c5a91b..23bcceedd71b2a 100644
--- a/Lib/test/test_support.py
+++ b/Lib/test/test_support.py
@@ -664,6 +664,7 @@ def id(self):
             self.assertTrue(support.match_test(test_chdir))
 
     @unittest.skipIf(support.is_emscripten, "Unstable in Emscripten")
+    @unittest.skipIf(support.is_wasi, "Unavailable on WASI")
     def test_fd_count(self):
         # We cannot test the absolute value of fd_count(): on old Linux
         # kernel or glibc versions, os.urandom() keeps a FD open on
diff --git a/Lib/test/test_time.py b/Lib/test/test_time.py
index dc0bbb0ee29311..884b14231f5737 100644
--- a/Lib/test/test_time.py
+++ b/Lib/test/test_time.py
@@ -489,6 +489,9 @@ def test_monotonic(self):
     def test_perf_counter(self):
         time.perf_counter()
 
+    @unittest.skipIf(
+        support.is_wasi, "process_time not available on WASI"
+    )
     def test_process_time(self):
         # process_time() should not include time spend during a sleep
         start = time.process_time()
diff --git a/Lib/test/test_urllib.py b/Lib/test/test_urllib.py
index bc6e74c291ac1c..f067560ca6caa1 100644
--- a/Lib/test/test_urllib.py
+++ b/Lib/test/test_urllib.py
@@ -10,6 +10,7 @@
 from unittest.mock import patch
 from test import support
 from test.support import os_helper
+from test.support import socket_helper
 from test.support import warnings_helper
 import os
 try:
@@ -24,6 +25,10 @@
 import collections
 
 
+if not socket_helper.has_gethostname:
+    raise unittest.SkipTest("test requires gethostname()")
+
+
 def hexescape(char):
     """Escape char as RFC 2396 specifies"""
     hex_repr = hex(ord(char))[2:].upper()
diff --git a/Lib/test/test_urllib_response.py b/Lib/test/test_urllib_response.py
index 73d2ef0424f4af..b76763f4ed824f 100644
--- a/Lib/test/test_urllib_response.py
+++ b/Lib/test/test_urllib_response.py
@@ -4,6 +4,11 @@
 import tempfile
 import urllib.response
 import unittest
+from test import support
+
+if support.is_wasi:
+    raise unittest.SkipTest("Cannot create socket on WASI")
+
 
 class TestResponse(unittest.TestCase):
 
diff --git a/Tools/wasm/README.md b/Tools/wasm/README.md
index 977b2bb2a8ab93..9e253bc878bd95 100644
--- a/Tools/wasm/README.md
+++ b/Tools/wasm/README.md
@@ -239,6 +239,7 @@ are:
   yet. A future version of WASI may provide a limited ``set_permissions`` API.
 - File locking (``fcntl``) is not available.
 - ``os.pipe()``, ``os.mkfifo()``, and ``os.mknod()`` are not supported.
+- ``process_time`` clock does not work.
 
 
 # Detect WebAssembly builds