diff --git a/test/system/030-run.bats b/test/system/030-run.bats
index e254fe8183..117e90cc48 100644
--- a/test/system/030-run.bats
+++ b/test/system/030-run.bats
@@ -874,8 +874,9 @@ RUN rm /etc/mtab
 EOF
     expected="'/etc/mtab' -> '/proc/mounts'"
 
+    # --layers=false needed to work around buildah#5674 parallel flake
     local iname=nomtab-$(safename)
-    run_podman build -t $iname $tmpdir
+    run_podman build -t $iname --layers=false $tmpdir
     run_podman run --rm $iname stat -c %N /etc/mtab
     is "$output" "$expected" "/etc/mtab should be created"
 
@@ -1080,8 +1081,9 @@ echo -e "#!/bin/sh\nfalse" >> /usr/bin/nsenter; \
 chmod +x /usr/bin/nsenter
 EOF
 
+    # --layers=false needed to work around buildah#5674 parallel flake
     test_image="cve_2022_1227_test-$(safename)"
-    run_podman build -t $test_image $tmpbuilddir
+    run_podman build -t $test_image --layers=false $tmpbuilddir
     run_podman run -d ${keepid} $test_image top
     ctr="$output"
     run_podman top $ctr huser,user
diff --git a/test/system/060-mount.bats b/test/system/060-mount.bats
index 3dbcd86312..792c777165 100644
--- a/test/system/060-mount.bats
+++ b/test/system/060-mount.bats
@@ -409,8 +409,9 @@ FROM $IMAGE
 RUN mkdir /mountroot && echo ${datacontent[img]} > /mountroot/data
 EOF
 
+    # --layers=false needed to work around buildah#5674 parallel flake
     img="localhost/img-$(safename)"
-    run_podman build -t $img -f $dockerfile
+    run_podman build -t $img --layers=false -f $dockerfile
 
     # Each test is set up in exactly the same way:
     #
@@ -554,7 +555,7 @@ glob | /*    | /mountroot/           | in
     echo "$datafile_contents" > $workdir/$datafile
     ln -s $datafile $workdir/link
 
-    run_podman create --mount type=glob,src=$workdir/*,dst=/mountroot/,no-dereference --privileged $img sh -c "stat -c '%N' /mountroot/link; cat /mountroot/link"
+    run_podman create --mount type=glob,src=$workdir/*,dst=/mountroot/,no-dereference --privileged $img sh -c "stat -c '%N' /mountroot/link; cat /mountroot/link; ls -l /mountroot"
     cid="$output"
     run_podman start -a $cid
     assert "${lines[0]}" = "'/mountroot/link' -> '$datafile'" "symlink is preserved, on start"