diff --git a/test/system/030-run.bats b/test/system/030-run.bats
index 813dd92663..eb740f04b6 100644
--- a/test/system/030-run.bats
+++ b/test/system/030-run.bats
@@ -408,4 +408,28 @@ json-file | f
     run_podman rm myctr
 }
 
+@test "podman run --tz" {
+    # This file will always have a constant reference timestamp
+    local testfile=/home/podman/testimage-id
+
+    run_podman run --rm $IMAGE date -r $testfile
+    is "$output" "Sun Sep 13 12:26:40 UTC 2020" "podman run with no TZ"
+
+    run_podman run --rm --tz=MST7MDT $IMAGE date -r $testfile
+    is "$output" "Sun Sep 13 06:26:40 MDT 2020" "podman run with --tz=MST7MDT"
+
+    # --tz=local pays attention to /etc/localtime, not $TZ. We set TZ anyway,
+    # to make sure podman ignores it; and, because this test is locale-
+    # dependent, we pick an obscure zone (+1245) that is unlikely to
+    # collide with any of our testing environments.
+    #
+    # To get a reference timestamp we run 'date' locally; note the explicit
+    # strftime() format. We can't use --iso=seconds because GNU date adds
+    # a colon to the TZ offset (eg -07:00) whereas alpine does not (-0700).
+    run date --date=@1600000000 +%Y-%m-%dT%H:%M:%S%z
+    expect="$output"
+    TZ=Pacific/Chatham run_podman run --rm --tz=local $IMAGE date -Iseconds -r $testfile
+    is "$output" "$expect" "podman run with --tz=local, matches host"
+}
+
 # vim: filetype=sh
diff --git a/test/system/build-testimage b/test/system/build-testimage
index ef14d3afd8..53ade57f06 100755
--- a/test/system/build-testimage
+++ b/test/system/build-testimage
@@ -35,6 +35,12 @@ cd $tmpdir
 # 'image mount' test will confirm that this file exists and has our YMD tag
 echo $YMD >testimage-id
 
+# ...but set the timestamp on the file itself to a constant well-known
+# value, for use by the 'run --tz' test. Date value chosen for nerdiness
+# and because it's in the past. (Much as I'd love FFFFFFFF, we can't
+# use any future date because of unpredictable leap second adjustments).
+touch --date=@1600000000 testimage-id
+
 # 'pod' test will use this for --infra-command
 cat >pause <<EOF
 #!/bin/sh
@@ -49,6 +55,7 @@ EOF
 chmod 755 pause
 
 # alpine because it's small and light and reliable
+#    - check for updates @ https://hub.docker.com/_/alpine
 # busybox-extras provides httpd needed in 500-networking.bats
 cat >Containerfile <<EOF
 FROM docker.io/library/alpine:3.12.0
diff --git a/test/system/helpers.bash b/test/system/helpers.bash
index eb3e4c7ec4..998db52836 100644
--- a/test/system/helpers.bash
+++ b/test/system/helpers.bash
@@ -7,7 +7,7 @@ PODMAN=${PODMAN:-podman}
 PODMAN_TEST_IMAGE_REGISTRY=${PODMAN_TEST_IMAGE_REGISTRY:-"quay.io"}
 PODMAN_TEST_IMAGE_USER=${PODMAN_TEST_IMAGE_USER:-"libpod"}
 PODMAN_TEST_IMAGE_NAME=${PODMAN_TEST_IMAGE_NAME:-"testimage"}
-PODMAN_TEST_IMAGE_TAG=${PODMAN_TEST_IMAGE_TAG:-"20200917"}
+PODMAN_TEST_IMAGE_TAG=${PODMAN_TEST_IMAGE_TAG:-"20200929"}
 PODMAN_TEST_IMAGE_FQN="$PODMAN_TEST_IMAGE_REGISTRY/$PODMAN_TEST_IMAGE_USER/$PODMAN_TEST_IMAGE_NAME:$PODMAN_TEST_IMAGE_TAG"
 
 # Because who wants to spell that out each time?