diff --git a/Lib/packaging/command/bdist_dumb.py b/Lib/packaging/command/bdist_dumb.py
index ed83c8e..d5773f0 100644
--- a/Lib/packaging/command/bdist_dumb.py
+++ b/Lib/packaging/command/bdist_dumb.py
@@ -55,7 +55,7 @@
         self.format = None
         self.keep_temp = False
         self.dist_dir = None
-        self.skip_build = False
+        self.skip_build = None
         self.relative = False
         self.owner = None
         self.group = None
@@ -73,7 +73,8 @@
                     "don't know how to create dumb built distributions "
                     "on platform %s" % os.name)
 
-        self.set_undefined_options('bdist', 'dist_dir', 'plat_name')
+        self.set_undefined_options('bdist',
+                                   'dist_dir', 'plat_name', 'skip_build')
 
     def run(self):
         if not self.skip_build:
diff --git a/Lib/packaging/command/bdist_msi.py b/Lib/packaging/command/bdist_msi.py
index 493f8b3..eaeb458 100644
--- a/Lib/packaging/command/bdist_msi.py
+++ b/Lib/packaging/command/bdist_msi.py
@@ -139,18 +139,22 @@
         self.no_target_optimize = False
         self.target_version = None
         self.dist_dir = None
-        self.skip_build = False
+        self.skip_build = None
         self.install_script = None
         self.pre_install_script = None
         self.versions = None
 
     def finalize_options(self):
+        self.set_undefined_options('bdist', 'skip_build')
+
         if self.bdist_dir is None:
             bdist_base = self.get_finalized_command('bdist').bdist_base
             self.bdist_dir = os.path.join(bdist_base, 'msi')
+
         short_version = get_python_version()
         if (not self.target_version) and self.distribution.has_ext_modules():
             self.target_version = short_version
+
         if self.target_version:
             self.versions = [self.target_version]
             if not self.skip_build and self.distribution.has_ext_modules()\
diff --git a/Lib/packaging/command/bdist_wininst.py b/Lib/packaging/command/bdist_wininst.py
index dbb74ea..7dbb39b 100644
--- a/Lib/packaging/command/bdist_wininst.py
+++ b/Lib/packaging/command/bdist_wininst.py
@@ -67,13 +67,15 @@
         self.dist_dir = None
         self.bitmap = None
         self.title = None
-        self.skip_build = False
+        self.skip_build = None
         self.install_script = None
         self.pre_install_script = None
         self.user_access_control = None
 
 
     def finalize_options(self):
+        self.set_undefined_options('bdist', 'skip_build')
+
         if self.bdist_dir is None:
             if self.skip_build and self.plat_name:
                 # If build is skipped and plat_name is overridden, bdist will
@@ -83,8 +85,10 @@
                 # next the command will be initialized using that name
             bdist_base = self.get_finalized_command('bdist').bdist_base
             self.bdist_dir = os.path.join(bdist_base, 'wininst')
+
         if not self.target_version:
             self.target_version = ""
+
         if not self.skip_build and self.distribution.has_ext_modules():
             short_version = get_python_version()
             if self.target_version and self.target_version != short_version:
diff --git a/Lib/packaging/tests/test_command_bdist.py b/Lib/packaging/tests/test_command_bdist.py
index fa4093c..dd10188 100644
--- a/Lib/packaging/tests/test_command_bdist.py
+++ b/Lib/packaging/tests/test_command_bdist.py
@@ -1,8 +1,6 @@
 """Tests for distutils.command.bdist."""
-
-from packaging import util
+import os
 from packaging.command.bdist import bdist, show_formats
-
 from packaging.tests import unittest, support, captured_stdout
 
 
@@ -10,22 +8,6 @@
                     support.LoggingCatcher,
                     unittest.TestCase):
 
-    def _mock_get_platform(self):
-        self._get_platform_called = True
-        return self._get_platform()
-
-    def setUp(self):
-        super(BuildTestCase, self).setUp()
-
-        # mock util.get_platform
-        self._get_platform_called = False
-        self._get_platform = util.get_platform
-        util.get_platform = self._mock_get_platform
-
-    def tearDown(self):
-        super(BuildTestCase, self).tearDown()
-        util.get_platform = self._get_platform
-
     def test_formats(self):
         # let's create a command and make sure
         # we can set the format
@@ -35,7 +17,7 @@
         cmd.ensure_finalized()
         self.assertEqual(cmd.formats, ['msi'])
 
-        # what format does bdist offer?
+        # what formats does bdist offer?
         # XXX hard-coded lists are not the best way to find available bdist_*
         # commands; we should add a registry
         formats = ['bztar', 'gztar', 'msi', 'tar', 'wininst', 'zip']
@@ -43,19 +25,21 @@
         self.assertEqual(found, formats)
 
     def test_skip_build(self):
-        dist = self.create_dist()[1]
-        cmd = bdist(dist)
-        cmd.skip_build = False
-        cmd.formats = ['ztar']
-        cmd.ensure_finalized()
-        self.assertFalse(self._get_platform_called)
-
+        # bug #10946: bdist --skip-build should trickle down to subcommands
         dist = self.create_dist()[1]
         cmd = bdist(dist)
         cmd.skip_build = True
-        cmd.formats = ['ztar']
         cmd.ensure_finalized()
-        self.assertTrue(self._get_platform_called)
+        dist.command_obj['bdist'] = cmd
+
+        names = ['bdist_dumb', 'bdist_wininst']
+        if os.name == 'nt':
+            names.append('bdist_msi')
+
+        for name in names:
+            subcmd = cmd.get_finalized_command(name)
+            self.assertTrue(subcmd.skip_build,
+                            '%s should take --skip-build from bdist' % name)
 
     def test_show_formats(self):
         __, stdout = captured_stdout(show_formats)
diff --git a/Misc/NEWS b/Misc/NEWS
index 5106f1f..d08d94e 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -269,7 +269,8 @@
 -------
 
 - Issue #10946: The distutils commands bdist_dumb, bdist_wininst and bdist_msi
-  now respect a --skip-build option given to bdist.
+  now respect a --skip-build option given to bdist.  The packaging commands
+  were fixed too.
 
 - Issue #12287: Fix a stack corruption in ossaudiodev module when the FD is
   greater than FD_SETSIZE.