diff --git a/alkstore-contract-suite/src/properties.rs b/alkstore-contract-suite/src/properties.rs
index d9fb8ec..f77d059 100644
--- a/alkstore-contract-suite/src/properties.rs
+++ b/alkstore-contract-suite/src/properties.rs
@@ -569,7 +569,7 @@ pub async fn lock_ttl_expiry_and_reacquisition(factory: &dyn StoreFactory) {
     // second-precision stamp's resolution): exclusion lapses silently
     // — the second owner's acquire is a clean Ok(Some) with no error
     // preceding it and no revocation event to observe.
-    past_stamp_sleep(2_500);
+    past_stamp_sleep(2_500).await;
     let second = store
         .try_lock("lapse", "b", 300)
         .await
@@ -1680,8 +1680,14 @@ pub async fn payload_too_large_produced_on_pg(factory: &dyn StoreFactory) {
 /// clock read `> T + 1`; 2.5 s guarantees it, 3.5 s the `expires: 2`
 /// stamps). Timing posture: state outcomes are asserted, never
 /// durations.
-fn past_stamp_sleep(millis: u64) {
-    std::thread::sleep(std::time::Duration::from_millis(millis));
+///
+/// Harness posture: **no blocking calls inside suite rows** — this
+/// helper is async (`tokio::time::sleep`) and every row awaits it;
+/// the mem engine's suite column runs the current-thread flavor
+/// ([ADR-024](../../docs/architecture/decisions/024-mem-engine.md)
+/// §5), which is what catches a blocking stall here.
+async fn past_stamp_sleep(millis: u64) {
+    tokio::time::sleep(std::time::Duration::from_millis(millis)).await;
 }
 
 /// **Job-handle validity predicate** — the uniform rule (processing
@@ -1785,7 +1791,7 @@ pub async fn job_handle_validity_predicate(factory: &dyn StoreFactory) {
         "claims hand out in enqueue order (equal priority)"
     );
     let retry_before = lapsed_retry.job().clone();
-    past_stamp_sleep(2_500);
+    past_stamp_sleep(2_500).await;
     assert!(
         !lapsed_ack.heartbeat(600).await.unwrap(),
         "late heartbeat must be refused: the deadline has lapsed"
@@ -1845,7 +1851,7 @@ pub async fn job_handle_validity_predicate(factory: &dyn StoreFactory) {
         batch_live.heartbeat(600).await.unwrap(),
         "the renewal keeps this id's claim live through the batch"
     );
-    past_stamp_sleep(2_500);
+    past_stamp_sleep(2_500).await;
     let counted = batch
         .ack_batch(&[batch_live_id, batch_lapse_id, 987_654_321])
         .await
@@ -1967,7 +1973,7 @@ pub async fn queue_depth_reclaim_and_dead_letter(factory: &dyn StoreFactory) {
         .job()
         .claim_expires_at
         .expect("claim stamps the deadline");
-    past_stamp_sleep(2_500);
+    past_stamp_sleep(2_500).await;
 
     let second = depth
         .claim_one("w2")
@@ -2002,7 +2008,7 @@ pub async fn queue_depth_reclaim_and_dead_letter(factory: &dyn StoreFactory) {
         .await
         .unwrap();
     depth.claim_one("w1").await.unwrap().unwrap();
-    past_stamp_sleep(2_500);
+    past_stamp_sleep(2_500).await;
     let at_budget = depth.claim_one("w2").await.unwrap().unwrap();
     assert_eq!(at_budget.job().id, exhausted);
     assert_eq!(
@@ -2010,7 +2016,7 @@ pub async fn queue_depth_reclaim_and_dead_letter(factory: &dyn StoreFactory) {
         at_budget.job().max_attempts,
         "the reclaim spent the budget"
     );
-    past_stamp_sleep(2_500);
+    past_stamp_sleep(2_500).await;
     assert!(
         depth.claim_one("w3").await.unwrap().is_none(),
         "the budget-spent row dead-letters instead of reclaiming"
@@ -2139,7 +2145,7 @@ pub async fn sweep_no_stranded_rows(factory: &dyn StoreFactory) {
         .enqueue(json!({"leg": "never-expiring"}), EnqueueOpts::default())
         .await
         .unwrap();
-    past_stamp_sleep(3_500);
+    past_stamp_sleep(3_500).await;
 
     let moved = sweeping.sweep_expired().await.unwrap();
     assert_eq!(
@@ -2195,7 +2201,7 @@ pub async fn sweep_no_stranded_rows(factory: &dyn StoreFactory) {
         .unwrap();
     let kept_dies = keeping.claim_one("w1").await.unwrap().unwrap();
     assert!(kept_dies.fail(None).await.unwrap());
-    past_stamp_sleep(2_500);
+    past_stamp_sleep(2_500).await;
 
     let deleted = retained.sweep_expired().await.unwrap();
     assert_eq!(
@@ -2479,7 +2485,7 @@ pub async fn scheduler_bounded_catchup(factory: &dyn StoreFactory) {
     // Several boundaries elapse (the first sits one interval past
     // registration; a 4 s runner-less pause leaves at least three
     // elapsed) — still nothing, no runner in sight.
-    past_stamp_sleep(4_000);
+    past_stamp_sleep(4_000).await;
     collect_fires(store.as_ref(), "catchup", &mut fired).await;
     assert!(
         fired.is_empty(),
diff --git a/tasks/suite-harness-current-thread.md b/tasks/suite-harness-current-thread.md
index 33c606e..d9ff685 100644
--- a/tasks/suite-harness-current-thread.md
+++ b/tasks/suite-harness-current-thread.md
@@ -1,7 +1,7 @@
 ---
 id: suite-harness-current-thread
 name: Contract-suite harness — async sleep in `past_stamp_sleep`, current-thread flavor readiness
-status: pending
+status: completed
 depends_on: []
 scope: narrow
 risk: low
@@ -38,12 +38,12 @@ This task is engine-independent and can run any time before
 
 ## Acceptance Criteria
 
-- [ ] `past_stamp_sleep` is async (`tokio::time::sleep`)
-- [ ] Both engines' existing suites re-run green with identical
+- [x] `past_stamp_sleep` is async (`tokio::time::sleep`)
+- [x] Both engines' existing suites re-run green with identical
       assertions and tolerances (determinism posture intact)
-- [ ] The no-blocking-calls posture noted where the harness's
+- [x] The no-blocking-calls posture noted where the harness's
       determinism posture is documented
-- [ ] Clippy `-D warnings`, fmt clean; workspace gates green
+- [x] Clippy `-D warnings`, fmt clean; workspace gates green
 
 ## References
 
@@ -55,8 +55,28 @@ This task is engine-independent and can run any time before
 
 ## Notes
 
-> To be filled by implementation agent
+- The posture note went into `past_stamp_sleep`'s doc comment rather
+  than the factory contract notes: the posture is a harness rule about
+  row internals (what a row may call), not part of the
+  `StoreFactory` shape, and the doc comment sits exactly where a row
+  author reaches for a sleep. The comment cites ADR-024 §5 for the
+  current-thread flavor that enforces it.
+- Five rows exercise the helper across its two use shapes (the
+  lapse-settle legs and the scheduler runner-less-pause leg):
+  `lock_ttl_expiry_and_reacquisition`, `job_handle_validity_predicate`,
+  `queue_depth_reclaim_and_dead_letter`, `sweep_no_stranded_rows`,
+  `scheduler_bounded_catchup`. All nine call sites gained `.await`;
+  assertions and tolerances untouched.
 
 ## Summary
 
-> To be filled on completion
\ No newline at end of file
+`past_stamp_sleep` now awaits `tokio::time::sleep` instead of blocking
+on `std::thread::sleep` (alkstore-contract-suite/src/properties.rs),
+making every suite row current-thread-safe for the mem engine's
+`#[tokio::test(flavor = "current_thread")]` column (ADR-024 §5 item 4);
+the doc comment records the no-blocking-calls-inside-rows posture.
+Both engines' `contract_suite` re-ran fully green (25/25 each, SQLite
+15.0 s / Postgres 21.3 s — no timing drift, tolerances unchanged); the
+full workspace build, tests, `clippy -D warnings`, and `fmt --check`
+pass. PostgreSQL leg ran against the POC container (`pglo-poc`, port
+15432, creds per docs/reviews/003 §env note).
\ No newline at end of file