diff --git a/31671.patch b/31671.patch
new file mode 100644
index 0000000..088bab6
--- /dev/null
+++ b/31671.patch
@@ -0,0 +1,28 @@
+From 2bc8a76b14b5db09ceb3d00a081d8411c34451cf Mon Sep 17 00:00:00 2001
+From: "Benjamin A. Beasley" <code@musicinmybrain.net>
+Date: Wed, 16 Nov 2022 09:00:21 -0500
+Subject: [PATCH] Use CMake variables for paths in pkg-config files
+
+Use @gRPC_INSTALL_LIBDIR@ for libdir; this fixes an incorrect
+-L/usr/lib on multilib Linux systems where that is the 32-bit library
+path and the correct path is /usr/lib64.
+
+Use @gRPC_INSTALL_INCLUDEDIR@ for consistency.
+---
+ cmake/pkg-config-template.pc.in | 4 ++--
+ 1 file changed, 2 insertions(+), 2 deletions(-)
+
+diff --git a/cmake/pkg-config-template.pc.in b/cmake/pkg-config-template.pc.in
+index d56154bb3a53..3a260418a815 100644
+--- a/cmake/pkg-config-template.pc.in
++++ b/cmake/pkg-config-template.pc.in
+@@ -1,7 +1,7 @@
+ prefix=@CMAKE_INSTALL_PREFIX@
+ exec_prefix=${prefix}
+-includedir=${prefix}/include
+-libdir=${exec_prefix}/lib
++includedir=@gRPC_INSTALL_INCLUDEDIR@
++libdir=@gRPC_INSTALL_LIBDIR@
+ 
+ Name: @PC_NAME@
+ Description: @PC_DESCRIPTION@
diff --git a/grpc.spec b/grpc.spec
index 307b706..d7efe9d 100644
--- a/grpc.spec
+++ b/grpc.spec
@@ -365,6 +365,20 @@ Patch:          grpc-1.46.3-ChannelzServicerTest-python3.11-regressions.patch
 #   https://github.com/grpc/grpc/issues/25368
 # The patch simply skips the test.
 Patch:          grpc-1.48.0-python-grpcio_tests-DynamicStubTest-hang.patch
+# Use CMake variables for paths in pkg-config files
+#
+# Use @gRPC_INSTALL_LIBDIR@ for libdir; this fixes an incorrect
+# -L/usr/lib on multilib Linux systems where that is the 32-bit library
+# path and the correct path is /usr/lib64.
+#
+# Use @gRPC_INSTALL_INCLUDEDIR@ for consistency.
+#
+# See also:
+# https://lists.fedoraproject.org/archives/list/devel@lists.fedoraproject.org/
+#   thread/P2N35UMQVEXPILAF47RQB53MWRV2GM3J/
+#
+# https://github.com/grpc/grpc/pull/31671
+Patch:          %{forgeurl}/pull/31671.patch
 
 Requires:       grpc-data = %{version}-%{release}