diff --git a/Makefile.am b/Makefile.am
index 125319fe48..d9cc3d09a4 100644
--- a/Makefile.am
+++ b/Makefile.am
@@ -5769,6 +5769,9 @@ EXTRA_DIST += \
 	test/TEST-05-RLIMITS/Makefile \
 	test/TEST-05-RLIMITS/test-rlimits.sh \
 	test/TEST-05-RLIMITS/test.sh \
+	test/TEST-07-ISSUE-1981/Makefile \
+	test/TEST-07-ISSUE-1981/test-segfault.sh \
+	test/TEST-07-ISSUE-1981/test.sh \
 	test/test-functions
 
 EXTRA_DIST += \
diff --git a/test/TEST-07-ISSUE-1981/Makefile b/test/TEST-07-ISSUE-1981/Makefile
new file mode 120000
index 0000000000..e9f93b1104
--- /dev/null
+++ b/test/TEST-07-ISSUE-1981/Makefile
@@ -0,0 +1 @@
+../TEST-01-BASIC/Makefile
\ No newline at end of file
diff --git a/test/TEST-07-ISSUE-1981/test-segfault.sh b/test/TEST-07-ISSUE-1981/test-segfault.sh
new file mode 100755
index 0000000000..48f05d89fb
--- /dev/null
+++ b/test/TEST-07-ISSUE-1981/test-segfault.sh
@@ -0,0 +1,36 @@
+#!/bin/bash
+
+set -x
+set -e
+
+>/failed
+
+cat <<'EOL' >/lib/systemd/system/my.service
+[Service]
+Type=oneshot
+ExecStart=/bin/echo Timer runs me
+EOL
+
+cat <<'EOL' >/lib/systemd/system/my.timer
+[Timer]
+OnBootSec=10s
+OnUnitInactiveSec=1h
+EOL
+
+systemctl unmask my.timer
+
+systemctl start my.timer
+
+mkdir -p /etc/systemd/system/my.timer.d/
+cat <<'EOL' >/etc/systemd/system/my.timer.d/override.conf
+[Timer]
+OnBootSec=10s
+OnUnitInactiveSec=1h
+EOL
+
+systemctl daemon-reload
+
+systemctl mask my.timer
+
+touch /testok
+rm /failed
diff --git a/test/TEST-07-ISSUE-1981/test.sh b/test/TEST-07-ISSUE-1981/test.sh
new file mode 100755
index 0000000000..dcb6ece4d4
--- /dev/null
+++ b/test/TEST-07-ISSUE-1981/test.sh
@@ -0,0 +1,58 @@
+#!/bin/bash
+# -*- mode: shell-script; indent-tabs-mode: nil; sh-basic-offset: 4; -*-
+# ex: ts=8 sw=4 sts=4 et filetype=sh
+TEST_DESCRIPTION="https://github.com/systemd/systemd/issues/1981"
+
+. $TEST_BASE_DIR/test-functions
+
+test_run() {
+    dwarn "skipping QEMU"
+    if check_nspawn; then
+        timeout --foreground 30s systemd-nspawn --kill-signal=SIGKILL --boot --directory=$TESTDIR/nspawn-root $ROOTLIBDIR/systemd $KERNEL_APPEND
+        check_result_nspawn || return 1
+    else
+        dwarn "can't run systemd-nspawn, skipping"
+    fi
+    return 0
+}
+
+test_setup() {
+    create_empty_image
+    mkdir -p $TESTDIR/root
+    mount ${LOOPDEV}p1 $TESTDIR/root
+
+    # Create what will eventually be our root filesystem onto an overlay
+    (
+        LOG_LEVEL=5
+        eval $(udevadm info --export --query=env --name=${LOOPDEV}p2)
+
+        setup_basic_environment
+
+        # setup the testsuite service
+        cat >$initdir/etc/systemd/system/testsuite.service <<EOF
+[Unit]
+Description=Testsuite service
+After=multi-user.target
+
+[Service]
+ExecStart=/test-segfault.sh
+Type=oneshot
+EOF
+
+        cp test-segfault.sh $initdir/
+
+        setup_testsuite
+    ) || return 1
+    setup_nspawn_root
+
+    ddebug "umount $TESTDIR/root"
+    umount $TESTDIR/root
+}
+
+test_cleanup() {
+    umount $TESTDIR/root 2>/dev/null
+    [[ $LOOPDEV ]] && losetup -d $LOOPDEV
+    return 0
+}
+
+do_test "$@"
diff --git a/test/test-functions b/test/test-functions
index 59167b009b..6667e0524f 100644
--- a/test/test-functions
+++ b/test/test-functions
@@ -13,8 +13,8 @@ if ! ROOTLIBDIR=$(pkg-config --variable=systemdutildir systemd); then
     ROOTLIBDIR=/usr/lib/systemd
 fi
 
-BASICTOOLS="sh bash setsid loadkeys setfont login sulogin gzip sleep echo mount umount cryptsetup date dmsetup modprobe sed cmp tee"
-DEBUGTOOLS="df free ls stty cat ps ln ip route dmesg dhclient mkdir cp ping dhclient strace less grep id tty touch du sort hostname"
+BASICTOOLS="sh bash setsid loadkeys setfont login sulogin gzip sleep echo mount umount cryptsetup date dmsetup modprobe sed cmp tee rm"
+DEBUGTOOLS="df free ls stty cat ps ln ip route dmesg dhclient mkdir cp ping dhclient strace less grep id tty touch du sort hostname find"
 
 function find_qemu_bin() {
     # SUSE and Red Hat call the binary qemu-kvm