diff -aur a/Makefile.pre.in b/Makefile.pre.in
--- a/Makefile.pre.in	2020-08-08 14:28:01.691542199 -0400
+++ b/Makefile.pre.in	2020-08-08 14:17:51.908512177 -0400
@@ -607,10 +607,12 @@
 	esac; \
 	echo "$(RUNSHARED) CC='$(CC)' LDSHARED='$(BLDSHARED)' OPT='$(OPT)' \
 		_TCLTK_INCLUDES='$(TCLTK_INCLUDES)' _TCLTK_LIBS='$(TCLTK_LIBS)' \
+		PYTHONXCPREFIX='$(DESTDIR)$(prefix)' \
 		DISABLED_EXTENSIONS="$(DISABLED_EXTENSIONS)" \
 		$(PYTHON_FOR_BUILD) $(srcdir)/setup.py $$quiet build"; \
 	$(RUNSHARED) CC='$(CC)' LDSHARED='$(BLDSHARED)' OPT='$(OPT)' \
 		_TCLTK_INCLUDES='$(TCLTK_INCLUDES)' _TCLTK_LIBS='$(TCLTK_LIBS)' \
+		PYTHONXCPREFIX='$(DESTDIR)$(prefix)' \
 		$(PYTHON_FOR_BUILD) $(srcdir)/setup.py $$quiet build
 
 
@@ -1656,8 +1658,10 @@
 # Install the dynamically loadable modules
 # This goes into $(exec_prefix)
 sharedinstall: sharedmods
+	CC='$(CC)' LDSHARED='$(BLDSHARED)' OPT='$(OPT)' \
 	$(RUNSHARED) DISABLED_EXTENSIONS="$(DISABLED_EXTENSIONS)" \
 		$(PYTHON_FOR_BUILD) $(srcdir)/setup.py install \
+		--skip-build \
 	   	--prefix=$(prefix) \
 		--install-scripts=$(BINDIR) \
 		--install-platlib=$(DESTSHARED) \
diff -aur a/setup.py b/setup.py
--- a/setup.py	2020-08-08 14:28:01.695542200 -0400
+++ b/setup.py	2020-08-08 14:28:36.931543934 -0400
@@ -41,7 +41,7 @@
     return sys.platform
 
 
-CROSS_COMPILING = ("_PYTHON_HOST_PLATFORM" in os.environ)
+CROSS_COMPILING = ("_PYTHON_HOST_PLATFORM" in os.environ) or ('PYTHONXCPREFIX' in os.environ)
 HOST_PLATFORM = get_platform()
 MS_WINDOWS = (HOST_PLATFORM == 'win32')
 CYGWIN = (HOST_PLATFORM == 'cygwin')
@@ -487,6 +487,13 @@
                 ext.name, level=1)
             return
 
+        # Import check will not work when cross-compiling.
+        if 'PYTHONXCPREFIX' in os.environ:
+            self.announce(
+                'WARNING: skipping import check for cross-compiled: "%s"' %
+                ext.name)
+            return
+
         # Workaround for Mac OS X: The Carbon-based modules cannot be
         # reliably imported into a command-line Python
         if 'Carbon' in ext.extra_link_args: