diff --git a/tasks/scripts/check-conformance-program.sh b/tasks/scripts/check-conformance-program.sh
index 7bfb2ac8c4..6d054405f7 100755
--- a/tasks/scripts/check-conformance-program.sh
+++ b/tasks/scripts/check-conformance-program.sh
@@ -16,7 +16,8 @@ trap 'rm -rf "${work}"' EXIT
 
 cargo run --quiet --locked --manifest-path "${manifest}" --bin openshell-conformance -- list \
     | awk '{print $1}' | sort > "${work}/program"
-cargo nextest list --locked --color never --manifest-path "${manifest}" --message-format oneline \
+# --run-ignored all: the program lists ignored tests too, so nextest must as well.
+cargo nextest list --locked --color never --run-ignored all --manifest-path "${manifest}" --message-format oneline \
     | awk '{print $2}' | sort > "${work}/nextest"
 
 if [[ ! -s "${work}/nextest" ]]; then
diff --git a/tests/suites/conformance/src/lifecycle.rs b/tests/suites/conformance/src/lifecycle.rs
index 6af1d145b3..dd47c0b4d6 100644
--- a/tests/suites/conformance/src/lifecycle.rs
+++ b/tests/suites/conformance/src/lifecycle.rs
@@ -52,7 +52,11 @@ const DELETE_DEADLINE: Duration = Duration::from_secs(10);
 /// Many workloads do not exit immediately on TERM, for example while they run
 /// cleanup handlers. Deleting such a running sandbox should still complete
 /// promptly, rather than waiting out the runtime's termination grace period.
+//
+// Unignore this when the supervisor half of #5025 lands: on Podman the
+// supervisor container still waits out its stop timeout.
 #[testkit::test]
+#[ignore = "https://github.com/NVIDIA/OpenShell/issues/5025"]
 async fn delete_is_prompt_when_workload_is_slow_to_handle_term(
     cx: &mut Context,
 ) -> testkit::Result {