diff --git a/bin/python/isc/coverage.py.in b/bin/python/isc/coverage.py.in
index 14c00aac0a9df55dba8ddcc6334430e256dde5fd..fe591431e8249020cde6b978352a48189393e833 100644
--- a/bin/python/isc/coverage.py.in
+++ b/bin/python/isc/coverage.py.in
@@ -188,9 +188,9 @@ def parse_args():
     if args.filename and len(args.zone) > 1:
         fatal("ERROR: -f can only be used with one zone.")
 
-    # strip trailing dots
-    args.zone = [x[:-1] if len(x) > 1 and x[-1] == '.' else x
-                 for x in args.zone]
+    # strip trailing dots if any
+    args.zone = [x[:-1] if (len(x) > 1 and x[-1] == '.') else x
+                        for x in args.zone]
 
     # convert from time arguments to seconds
     try:
diff --git a/bin/tests/system/coverage/13-dotted-dotless/expect b/bin/tests/system/coverage/13-dotted-dotless/expect
new file mode 100644
index 0000000000000000000000000000000000000000..5760d298dfaceb22856c0e5cc6605a3395601bde
--- /dev/null
+++ b/bin/tests/system/coverage/13-dotted-dotless/expect
@@ -0,0 +1,7 @@
+args="-z -m2h"
+warn=0
+error=0
+ok=2
+retcode=0
+match=
+zones="one.example. two.example"
diff --git a/bin/tests/system/coverage/setup.sh b/bin/tests/system/coverage/setup.sh
index 0f4d4358191bdbdfea495da741515e64a5786ab6..b32937f2296eb311b3d1dc69fedd4c1f87d325f8 100644
--- a/bin/tests/system/coverage/setup.sh
+++ b/bin/tests/system/coverage/setup.sh
@@ -132,3 +132,8 @@ ksk1=`$KEYGEN -q -K $dir -a rsasha1 -3fk example.com`
 dir=12-ksk-deletion
 ksk1=`$KEYGEN -q -K $dir -f KSK -a 8 -b 2048 -I +40d -D +40d example.com`
 ksk2=`$KEYGEN -q -K $dir -S $ksk1.key example.com`
+
+# Test 13: check names with/without dots at the end
+dir=13-dotted-dotless
+zsk1=`$KEYGEN -q -K $dir -a rsasha256 one.example`
+zsk2=`$KEYGEN -q -K $dir -a rsasha256 two.example`
diff --git a/bin/tests/system/coverage/tests.sh b/bin/tests/system/coverage/tests.sh
index 47a45895118ee64b7360ddce875b795a619e1794..7434358558a421495dfa01e9de033afef125a728 100644
--- a/bin/tests/system/coverage/tests.sh
+++ b/bin/tests/system/coverage/tests.sh
@@ -32,9 +32,9 @@ ret=0
 for dir in [0-9][0-9]-*; do
         ret=0
         echo_i "$dir"
-        args= warn= error= ok= retcode= match=
+        args= warn= error= ok= retcode= match= zones=
         . $dir/expect
-        $COVERAGE $args -K $dir example.com > coverage.$n 2>&1
+        $COVERAGE $args -K $dir ${zones:-example.com} > coverage.$n 2>&1
 
         # check that return code matches expectations
         found=$?
@@ -81,17 +81,5 @@ for dir in [0-9][0-9]-*; do
         status=`expr $status + $ret`
 done
 
-dir=dotted-dotless
-[ -d $dir ] || mkdir $dir
-echo_i "$dir"
-zsk1=`$KEYGEN -q -K $dir -a rsasha256 one.example`
-zsk2=`$KEYGEN -q -K $dir -a rsasha256 two.example`
-$COVERAGE -K $dir one.example. two.example > coverage.$n 2>&1
-grep one.example coverage.$n >/dev/null 2>&1 || ret=1
-grep two.example coverage.$n >/dev/null 2>&1 || ret=1
-n=`expr $n + 1`
-if [ $ret != 0 ]; then echo_i "failed"; fi
-status=`expr $status + $ret`
-
 echo_i "exit status: $status"
 [ $status -eq 0 ] || exit 1
diff --git a/util/copyrights b/util/copyrights
index 9038aa70d420f98cfeda5cefb187f647da3863b3..41ce20d9c1f8e6a2ccb479160e3808fea0f6b060 100644
--- a/util/copyrights
+++ b/util/copyrights
@@ -482,6 +482,7 @@
 ./bin/tests/system/coverage/11-cutoff/README	X	2014,2018,2019
 ./bin/tests/system/coverage/11-cutoff/expect	X	2014,2018,2019
 ./bin/tests/system/coverage/12-ksk-deletion/expect	X	2018,2019
+./bin/tests/system/coverage/13-dotted-dotless/expect	X	2019
 ./bin/tests/system/coverage/clean.sh		SH	2013,2014,2016,2018,2019
 ./bin/tests/system/coverage/setup.sh		SH	2013,2014,2016,2017,2018,2019
 ./bin/tests/system/coverage/tests.sh		SH	2013,2014,2016,2018,2019