diff --git a/Lib/distutils/command/build_ext.py b/Lib/distutils/command/build_ext.py
index d4cb11e6dbd..f03a4e31d8d 100644
--- a/Lib/distutils/command/build_ext.py
+++ b/Lib/distutils/command/build_ext.py
@@ -748,7 +748,7 @@ class build_ext(Command):
             if sysconfig.get_config_var('Py_ENABLE_SHARED'):
                 pythonlib = 'python{}.{}{}'.format(
                     sys.hexversion >> 24, (sys.hexversion >> 16) & 0xff,
-                    sys.abiflags)
+                    sysconfig.get_config_var('ABIFLAGS'))
                 return ext.libraries + [pythonlib]
             else:
                 return ext.libraries
diff --git a/Misc/NEWS b/Misc/NEWS
index ed09a5d145c..8b82531d387 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -561,6 +561,9 @@ Tests
 Build
 -----
 
+- Issue #26884: Fix linking extension modules for cross builds.
+  Patch by Xavier de Gaye.
+
 - Issue #22359: Disable the rules for running _freeze_importlib and pgen when
   cross-compiling.  The output of these programs is normally saved with the
   source code anyway, and is still regenerated when doing a native build.