diff --git a/test/units/testsuite-58.sh b/test/units/testsuite-58.sh
index 16cd8385fb..62d0a29cb5 100755
--- a/test/units/testsuite-58.sh
+++ b/test/units/testsuite-58.sh
@@ -84,6 +84,38 @@ cmp /var/tmp/testsuite-58.img /var/tmp/testsuite-58.2.img
 rm /var/tmp/testsuite-58.img /var/tmp/testsuite-58.2.img /tmp/testsuite-58.dump
 rm -r /tmp/testsuite-58-defs/
 
+# Third part: operate on an an image with unaligned partition, to see if that works.
+
+rm -f /var/tmp/testsuite-58.3.img /tmp/testsuite-58-3.dump
+mkdir -p /tmp/testsuite-58.3-defs/
+
+cat >/tmp/testsuite-58.3-defs/root.conf <<EOF
+[Partition]
+Type=root
+EOF
+
+truncate -s 10g /var/tmp/testsuite-58.3.img
+sfdisk /var/tmp/testsuite-58.3.img <<EOF
+label: gpt
+
+start=2048, size=69044
+start=71092, size=3591848
+EOF
+
+systemd-repart --definitions=/tmp/testsuite-58.3-defs/ \
+               --seed=750b6cd5c4ae4012a15e7be3c29e6a47 \
+               --dry-run=no \
+               /var/tmp/testsuite-58.3.img
+
+sfdisk --dump /var/tmp/testsuite-58.3.img | tee /tmp/testsuite-58.3.dump
+
+grep -qF '/var/tmp/testsuite-58.3.img1 : start=        2048, size=       69044,' /tmp/testsuite-58.3.dump
+grep -qF '/var/tmp/testsuite-58.3.img2 : start=       71092, size=     3591848,' /tmp/testsuite-58.3.dump
+grep -qxF '/var/tmp/testsuite-58.3.img3 : start=     3662944, size=    17308536, type=4F68BCE3-E8CD-4DB1-96E7-FBCAF984B709, uuid=60F33797-1D71-4DCB-AA6F-20564F036CD0, name="root-x86-64", attrs="GUID:59"' /tmp/testsuite-58.3.dump
+
+rm /var/tmp/testsuite-58.3.img /tmp/testsuite-58.3.dump
+rm -r /tmp/testsuite-58.3-defs/
+
 echo OK >/testok
 
 exit 0