diff --git a/test/units/TEST-55-OOMD.sh b/test/units/TEST-55-OOMD.sh
index 10b3777df6..6eb066e57e 100755
--- a/test/units/TEST-55-OOMD.sh
+++ b/test/units/TEST-55-OOMD.sh
@@ -95,6 +95,21 @@ else
     systemd-run -t -p MemoryMax=10M -p MemorySwapMax=0 -p MemoryZSwapMax=0 /bin/true
 fi
 
+check_killed() {
+    local unit="${1:?}"
+    shift
+
+    systemctl "$@" status "$unit" || return 0 # Yay! The service has been expectedly killed.
+
+    # Workaround for the regression in kernel 6.12-rcX, explained in issue #32730.
+    if journalctl --no-hostname -k -t kernel --grep 'psi: inconsistent task state!'; then
+        echo "$unit is unexpectedly still alive, and inconsistency in PSI is reported by the kernel, skipping." >/skipped
+        exit 77
+    fi
+
+    return 1 # Huh? Something borked.
+}
+
 test_basic() {
     local cgroup_path="${1:?}"
     shift
@@ -121,7 +136,7 @@ test_basic() {
     done
 
     # testbloat should be killed and testchill should be fine
-    if systemctl "$@" status TEST-55-OOMD-testbloat.service; then exit 42; fi
+    if ! check_killed TEST-55-OOMD-testbloat.service "$@"; then exit 42; fi
     if ! systemctl "$@" status TEST-55-OOMD-testchill.service; then exit 24; fi
 
     systemctl "$@" kill --signal=KILL TEST-55-OOMD-testbloat.service || :
@@ -172,7 +187,7 @@ EOF
 
     # testmunch should be killed since testbloat had the avoid xattr on it
     if ! systemctl status TEST-55-OOMD-testbloat.service; then exit 25; fi
-    if systemctl status TEST-55-OOMD-testmunch.service; then exit 43; fi
+    if ! check_killed TEST-55-OOMD-testmunch.service; then exit 43; fi
     if ! systemctl status TEST-55-OOMD-testchill.service; then exit 24; fi
 
     systemctl kill --signal=KILL TEST-55-OOMD-testbloat.service || :
@@ -248,7 +263,7 @@ EOF
         sleep 2
     done
 
-    if systemctl status TEST-55-OOMD-testmunch.service; then exit 44; fi
+    if ! check_killed TEST-55-OOMD-testmunch.service; then exit 44; fi
     if ! systemctl status TEST-55-OOMD-testchill.service; then exit 23; fi
 
     systemctl kill --signal=KILL TEST-55-OOMD-testmunch.service || :