diff --git a/valgrind-3.16.1-PPC64BE-lsw.patch b/valgrind-3.16.1-PPC64BE-lsw.patch
new file mode 100644
index 0000000..2a1e9c3
--- /dev/null
+++ b/valgrind-3.16.1-PPC64BE-lsw.patch
@@ -0,0 +1,34 @@
+diff --git a/none/tests/ppc64/ldst_multiple.vgtest b/none/tests/ppc64/ldst_multiple.vgtest
+index 87e668e09..22dd46c99 100644
+--- a/none/tests/ppc64/ldst_multiple.vgtest
++++ b/none/tests/ppc64/ldst_multiple.vgtest
+@@ -1 +1,2 @@
++prereq: ../../../tests/is_ppc64_BE
+ prog: ldst_multiple
+--- valgrind-3.16.1/none/tests/ppc64/Makefile.am.orig	2020-10-18 20:43:34.579699246 +0200
++++ valgrind-3.16.1/none/tests/ppc64/Makefile.am	2020-10-18 20:44:52.950198040 +0200
+@@ -54,17 +54,22 @@
+ 
+ check_PROGRAMS = \
+ 	allexec \
+-	lsw jm-insns round \
++	jm-insns round \
+ 	test_isa_2_06_part1 test_isa_2_06_part2 test_isa_2_06_part3 \
+ 	test_dfp1 test_dfp2 test_dfp3 test_dfp4 test_dfp5 \
+ 	test_isa_2_07_part1 test_isa_2_07_part2 \
+ 	test_isa_3_0 \
+ 	subnormal_test \
+-	test_tm test_touch_tm ldst_multiple data-cache-instructions \
++	test_tm test_touch_tm data-cache-instructions \
+ 	power6_mf_gpr std_reg_imm \
+ 	twi_tdi tw_td power6_bcmp
+ 
+ 
++# lsw and ldst_multiple compile (and run) only on big endian.
++if VGCONF_PLATFORMS_INCLUDE_PPC64BE_LINUX
++check_PROGRAMS += lsw ldst_multiple
++endif
++
+ AM_CFLAGS    += @FLAG_M64@
+ AM_CXXFLAGS  += @FLAG_M64@
+ AM_CCASFLAGS += @FLAG_M64@
diff --git a/valgrind.spec b/valgrind.spec
index 63e4cea..064cd45 100644
--- a/valgrind.spec
+++ b/valgrind.spec
@@ -111,6 +111,9 @@ Patch11: valgrind-3.16.1-faccessat2.patch
 # KDE#427931 gdbserver_tests/nlcontrolc.vgtest hangs on fedora rawhide
 Patch12: valgrind-3.16.1-gdbserver_nlcontrolc.patch
 
+# KDE#427870 lmw, lswi and related PowerPC insns aren't allowed on ppc64le
+Patch13: valgrind-3.16.1-PPC64BE-lsw.patch
+
 BuildRequires: glibc-devel
 
 %if %{build_openmpi}
@@ -248,6 +251,7 @@ Valgrind User Manual for details.
 %patch10 -p1
 %patch11 -p1
 %patch12 -p1
+%patch13 -p1
 
 %build
 # LTO triggers undefined symbols in valgrind.  Valgrind has a --enable-lto
@@ -475,6 +479,7 @@ fi
 * Fri Oct 16 2020 Mark Wielaard <mjw@fedoraproject.org> - 3.16.1-6
 - Add valgrind-3.16.1-faccessat2.patch
 - Add valgrind-3.16.1-gdbserver_nlcontrolc.patch
+- Add valgrind-3.16.1-PPC64BE-lsw.patch
 
 * Tue Aug 18 2020 Mark Wielaard <mjw@fedoraproject.org> - 3.16.1-5
 - Update valgrind-3.16.1-epoll.patch