diff --git a/lang/python/python3/test-version.sh b/lang/python/python3/test-version.sh
index c18da41931..3a69b569d8 100755
--- a/lang/python/python3/test-version.sh
+++ b/lang/python/python3/test-version.sh
@@ -1,35 +1,34 @@
 #!/bin/sh
 
-# shellckeck shell=busybox
+# shellcheck shell=busybox
+
+# PYTHON3_VERSION from python3-version.mk, for example 3.13
+PYTHON3_VERSION="${PKG_VERSION%.*}"
 
 case "$PKG_NAME" in
 python3|\
 python3-base|\
 python3-light)
-	python3 --version | grep -Fx "Python $PKG_VERSION"
+	"python$PYTHON3_VERSION" --version | grep -Fx "Python $PKG_VERSION" &&
+		python3 --version | grep -Fx "Python $PKG_VERSION"
 	;;
 
-python3-asyncio|\
-python3-base-src|\
-python3-codecs|\
-python3-ctypes|\
-python3-dbm|\
-python3-decimal|\
-python3-dev|\
-python3-light-src|\
-python3-logging|\
-python3-lzma|\
-python3-multiprocessing|\
-python3-ncurses|\
-python3-openssl|\
-python3-pydoc|\
-python3-readline|\
-python3-sqlite3|\
-python3-unittest|\
-python3-urllib|\
-python3-uuid|\
-python3-venv|\
-python3-xml)
+python3-dev)
+	# python3-config prints no version, so check that it points to the
+	# headers of this version
+	"python$PYTHON3_VERSION-config" --includes |
+		grep -F -e "-I/usr/include/python$PYTHON3_VERSION" &&
+		grep '^#define PY_VERSION ' "/usr/include/python$PYTHON3_VERSION/patchlevel.h" |
+		grep -F "\"$PKG_VERSION\""
+	;;
+
+libpython3-*)
+	# The package name carries the ABI version
+	[ "$PKG_NAME" = "libpython3-$PYTHON3_VERSION" ]
+	;;
+
+python3-*)
+	# Standard library modules and -src packages ship no executables
 	exit 0
 	;;