diff --git a/interactive/src/server.rs b/interactive/src/server.rs
index fe7c0ae30..62c242b53 100644
--- a/interactive/src/server.rs
+++ b/interactive/src/server.rs
@@ -994,7 +994,8 @@ impl Server {
                 .probe_with(&mut probe);
         });
         while probe.less_than(&epoch) {
-            worker.step();
+            // Remote data or progress wakes idle workers; do not busy-poll.
+            worker.step_or_park(None);
         }
         worker.drop_dataflow(id);
         let mut rows: Vec<_> = acc
@@ -1118,7 +1119,8 @@ impl Server {
         while self.programs.values().any(|p| p.probe.less_than(&epoch))
             || self.bindings.iter().any(|b| b.probe.less_than(&epoch))
         {
-            worker.step();
+            // Remote data or progress wakes idle workers; do not busy-poll.
+            worker.step_or_park(None);
         }
 
         // Feedback: deliver each binding's buffered source changes into its
diff --git a/interactive/tests/server_batch.rs b/interactive/tests/server_batch.rs
index 588672ac1..fdcc36d29 100644
--- a/interactive/tests/server_batch.rs
+++ b/interactive/tests/server_batch.rs
@@ -42,3 +42,45 @@ fn feed_batch_validates_before_staging_one_epoch() {
         );
     });
 }
+
+/// Ticks and transient snapshots must wake for delayed remote rows and progress.
+#[test]
+fn delayed_peers_wake_ticks_and_snapshots() {
+    use interactive::server::RenderBackend;
+    use std::sync::{Arc, Barrier};
+    use std::time::Duration;
+
+    for backend in [RenderBackend::Vec, RenderBackend::Corgi] {
+        let barrier = Arc::new(Barrier::new(3));
+        let guards = timely::execute(timely::Config::process(3), move |worker| {
+            let mut program = lower::lower_tree(parse::pipe::parse(
+                "let rows = input 0; export \"rows\" = rows;",
+            ));
+            program.optimize();
+            let mut server = Server::with_backend(backend);
+            server.install(worker, "world", &program).unwrap();
+            for epoch in 0..6 {
+                barrier.wait();
+                if worker.index() == epoch % 3 {
+                    std::thread::sleep(Duration::from_millis(20));
+                    let diff = if epoch < 3 { 1 } else { -1 };
+                    server.feed_batch("world", 0, vec![InputUpdate {
+                        key: tup(&[(epoch % 3) as i64]), val: Value::unit(), diff,
+                    }]).unwrap();
+                }
+                server.tick(worker);
+                barrier.wait();
+                if worker.index() == (epoch + 1) % 3 {
+                    std::thread::sleep(Duration::from_millis(20));
+                }
+                let rows = server.snapshot(worker, "rows").unwrap();
+                let expected: Vec<_> = if worker.index() == 0 {
+                    (0..3).filter(|&i| if epoch < 3 { i <= epoch } else { i > epoch - 3 })
+                        .map(|i| (tup(&[i as i64]), Value::unit(), 1)).collect()
+                } else { Vec::new() };
+                assert_eq!(rows, expected);
+            }
+        }).unwrap();
+        for result in guards.join() { result.unwrap(); }
+    }
+}