diff --git a/cpython-unix/build-cpython.sh b/cpython-unix/build-cpython.sh
index a04677f1..de471953 100755
--- a/cpython-unix/build-cpython.sh
+++ b/cpython-unix/build-cpython.sh
@@ -1116,5 +1116,10 @@ else
     cp -av Tools/scripts/run_tests.py ${ROOT}/out/python/build/
 fi
 
+# Don't hard-code the build-time prefix into the pkg-config files. See
+# the description of `pcfiledir` in `man pkg-config`.
+find ${ROOT}/out/python/install/lib/pkgconfig -name \*.pc -type f -exec \
+    sed ${sed_args} 's|^prefix=/install|prefix=${pcfiledir}/../..|' {} +
+
 mkdir ${ROOT}/out/python/licenses
 cp ${ROOT}/LICENSE.*.txt ${ROOT}/out/python/licenses/
diff --git a/docs/quirks.rst b/docs/quirks.rst
index 04e2484c..3c16745e 100644
--- a/docs/quirks.rst
+++ b/docs/quirks.rst
@@ -305,7 +305,6 @@ build-time configuration in a handful of files:
   ``lib/python3.10/_sysconfigdata__linux_x86_64-linux-gnu.py``.
 * In a ``Makefile`` under a ``config-*`` directory in the standard library.
   e.g. ``lib/python3.10/config-3.10-x86_64-linux-gnu/Makefile``.
-* In ``pkgconfig`` files. e.g. ``lib/pkgconfig/python3.pc``.
 * In ``python*-config`` files. e.g. ``bin/python3.10-config``.
 * In ``PYTHON.json`` (mostly reflected values from ``_sysconfigdata_*.py``.