diff --git a/test/integration-tests/TEST-55-OOMD/TEST-55-OOMD.units/TEST-55-OOMD-testbloat.service b/test/integration-tests/TEST-55-OOMD/TEST-55-OOMD.units/TEST-55-OOMD-testbloat.service
index 70c87727c8..22bbd210e9 100644
--- a/test/integration-tests/TEST-55-OOMD/TEST-55-OOMD.units/TEST-55-OOMD-testbloat.service
+++ b/test/integration-tests/TEST-55-OOMD/TEST-55-OOMD.units/TEST-55-OOMD-testbloat.service
@@ -7,4 +7,7 @@ Description=Create a lot of memory pressure
 # to throttle and be put under heavy pressure.
 MemoryHigh=3M
 Slice=TEST-55-OOMD-workload.slice
-ExecStart=stress-ng --timeout 3m --vm 10 --vm-bytes 200M --vm-keep
+# Pin --vm-method to a portable method (zero-one): the default 'all' cycles
+# through methods, including newer ones using AVX-512 instructions that SIGILL
+# on CPUs without AVX-512 (e.g. AMD Zen 1-3), making the test flaky.
+ExecStart=stress-ng --timeout 3m --vm 10 --vm-bytes 200M --vm-keep --vm-method=zero-one
diff --git a/test/integration-tests/TEST-55-OOMD/TEST-55-OOMD.units/TEST-55-OOMD-testmunch.service b/test/integration-tests/TEST-55-OOMD/TEST-55-OOMD.units/TEST-55-OOMD-testmunch.service
index 79bd01838e..06eea10b79 100644
--- a/test/integration-tests/TEST-55-OOMD/TEST-55-OOMD.units/TEST-55-OOMD-testmunch.service
+++ b/test/integration-tests/TEST-55-OOMD/TEST-55-OOMD.units/TEST-55-OOMD-testmunch.service
@@ -5,4 +5,7 @@ Description=Create some memory pressure
 [Service]
 MemoryHigh=12M
 Slice=TEST-55-OOMD-workload.slice
-ExecStart=stress-ng --timeout 3m --vm 10 --vm-bytes 200M --vm-keep
+# Pin --vm-method to a portable method (zero-one): the default 'all' cycles
+# through methods, including newer ones using AVX-512 instructions that SIGILL
+# on CPUs without AVX-512 (e.g. AMD Zen 1-3), making the test flaky.
+ExecStart=stress-ng --timeout 3m --vm 10 --vm-bytes 200M --vm-keep --vm-method=zero-one
diff --git a/test/units/TEST-55-OOMD.sh b/test/units/TEST-55-OOMD.sh
index 6689bbdd73..b7311e83dc 100755
--- a/test/units/TEST-55-OOMD.sh
+++ b/test/units/TEST-55-OOMD.sh
@@ -365,11 +365,14 @@ EOF
 
     systemctl reload systemd-oomd.service
 
-    # Run a transient service with OOMRules=testrule that generates memory pressure
+    # Run a transient service with OOMRules=testrule that generates memory pressure.
+    # Pin --vm-method to a portable method (zero-one): the default 'all' cycles
+    # through every method, including newer ones using AVX-512 instructions that
+    # SIGILL on CPUs without AVX-512 (e.g. AMD Zen 1-3), making the test flaky.
     (! systemd-run --wait --unit=TEST-55-OOMD-testrules \
         -p MemoryHigh=3M \
         -p OOMRules=testrule \
-        stress-ng --timeout 3m --vm 10 --vm-bytes 50M --vm-keep)
+        stress-ng --timeout 3m --vm 10 --vm-bytes 50M --vm-keep --vm-method=zero-one)
 
     # Verify in the journal that the rule triggered
     journalctl --sync
@@ -454,10 +457,14 @@ EOF
 
     # Start the unit without --wait so we can check mid-run state. The
     # stress-ng timeout bounds the test if anything goes wrong.
+    # Pin --vm-method to a portable method (zero-one): the default 'all' cycles
+    # through every method, including newer ones using AVX-512 instructions that
+    # SIGILL on CPUs without AVX-512 (e.g. AMD Zen 1-3) and would cause stress-ng
+    # to exit before the 6 s wait below elapses, failing the ActiveState check.
     systemd-run --unit=TEST-55-OOMD-slowrule \
         -p MemoryHigh=3M \
         -p OOMRules=slowrule \
-        stress-ng --timeout 15s --vm 10 --vm-bytes 50M --vm-keep
+        stress-ng --timeout 15s --vm 10 --vm-bytes 50M --vm-keep --vm-method=zero-one
 
     # Wait long enough for oomd's 1s rule-check loop to evaluate the condition
     # many times. With LastingSec=1h the kill must not fire.