diff --git a/test/e2e/containers_conf_test.go b/test/e2e/containers_conf_test.go
index 469558b718..94e61468c3 100644
--- a/test/e2e/containers_conf_test.go
+++ b/test/e2e/containers_conf_test.go
@@ -346,10 +346,11 @@ var _ = Describe("Verify podman containers.conf usage", func() {
 		Expect(session.OutputToString()).To(ContainSubstring("HST"))
 
 		// verify flag still overrides
-		session = podmanTest.Podman([]string{"run", "--tz", "EST", ALPINE, "date", "+'%H %Z'"})
+		// Arizona does not observe DST so this command is safe at all times of the year
+		session = podmanTest.Podman([]string{"run", "--tz", "America/Phoenix", ALPINE, "date", "+'%H %Z'"})
 		session.WaitWithDefaultTimeout()
 		Expect(session).Should(ExitCleanly())
-		Expect(session.OutputToString()).To(ContainSubstring("EST"))
+		Expect(session.OutputToString()).To(ContainSubstring("MST"))
 	})
 
 	It("add umask", func() {
diff --git a/test/system/030-run.bats b/test/system/030-run.bats
index 117e90cc48..cc2833c5d0 100644
--- a/test/system/030-run.bats
+++ b/test/system/030-run.bats
@@ -518,9 +518,9 @@ json-file | f
     is "$output" "Sun Sep 13 12:26:40 UTC 2020" "podman run with no TZ"
 
     # Multiple --tz options; confirm that the last one wins
-    run_podman run --rm --tz=US/Eastern --tz=Iceland --tz=MST7MDT \
+    run_podman run --rm --tz=US/Eastern --tz=Iceland --tz=America/New_York \
                $IMAGE date -r $testfile
-    is "$output" "Sun Sep 13 06:26:40 MDT 2020" "podman run with --tz=MST7MDT"
+    is "$output" "Sun Sep 13 08:26:40 EDT 2020" "podman run with --tz=America/New_York"
 
     # --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-