diff --git a/frontend/src/components/EventLog.svelte b/frontend/src/components/EventLog.svelte
index bde1085..1b66d09 100644
--- a/frontend/src/components/EventLog.svelte
+++ b/frontend/src/components/EventLog.svelte
@@ -42,6 +42,10 @@
     // When set, the game is at a rolled-back state; events past this checkpoint are the
     // greyed, still-undoable future. Rolling forward to one of them redoes the rollback.
     $: head = state.game?.rollback_head_checkpoint_id ?? null;
+    // The point in time the game is currently at: the rollback head if set, otherwise
+    // the newest checkpoint (supplied by the backend). A button targeting it would be a
+    // no-op, so the "you are here" event — and, in live play, the latest event — has none.
+    $: currentPos = head !== null ? head : (state.latest_checkpoint_id ?? 0);
 
     $: mergePolled(state.events);
 
@@ -175,7 +179,7 @@
                         <span class="log-icon">{KIND_ICONS[event.kind] || KIND_ICONS.info}</span>
                         <span class="log-message">{event.message}</span>
                         <span class="log-time">{formatTime(event.timestamp)}</span>
-                        {#if canRollback && event.checkpoint_id > 0}
+                        {#if canRollback && event.checkpoint_id > 0 && event.checkpoint_id !== currentPos}
                             <button
                                 class="rollback-btn"
                                 title={isFuture ? 'Redo forward to just after this event' : 'Roll the game back to just after this event'}
diff --git a/src/pirats/crud_rollback.py b/src/pirats/crud_rollback.py
index 39de19b..57ad8ee 100644
--- a/src/pirats/crud_rollback.py
+++ b/src/pirats/crud_rollback.py
@@ -25,7 +25,7 @@ what commits the new timeline.
 """
 
 import json
-from typing import Tuple
+from typing import Optional, Tuple
 
 from sqlmodel import Session, select
 
@@ -148,6 +148,17 @@ def _discard_future(db: Session, game: Game, after_checkpoint_id: int) -> None:
         db.delete(c)
 
 
+def latest_checkpoint_id(db: Session, game_id: str) -> Optional[int]:
+    """The newest checkpoint id for a game (None if there are none). During live play
+    this is the point the game is at — the frontend hides the rollback button on the
+    event sitting at the current position, since rolling there would be a no-op."""
+    cp = db.exec(
+        select(Checkpoint).where(Checkpoint.game_id == game_id)
+        .order_by(Checkpoint.id.desc())
+    ).first()
+    return cp.id if cp else None
+
+
 def maintain_rollback_history(db: Session, game: Game) -> None:
     """Called after every successful mutation: snapshot the state while a scene is in
     progress, otherwise clear the (now-irrelevant) rollback history. This is the only
diff --git a/src/pirats/main.py b/src/pirats/main.py
index eb0affe..c96a16d 100644
--- a/src/pirats/main.py
+++ b/src/pirats/main.py
@@ -135,6 +135,8 @@ def get_game_state(game_id: str, player_id: str, db: Session = Depends(get_sessi
         "votes": [v.model_dump() for v in game.votes],
         "events": [e.model_dump() for e in events],
         "events_have_more": events_have_more,
+        # The newest checkpoint id, so the log can tell which event is "you are here".
+        "latest_checkpoint_id": crud.latest_checkpoint_id(db, game_id),
     }
 
 @api.get("/game/{game_id}/events")
diff --git a/tests/test_game.py b/tests/test_game.py
index a3ab364..fa9b48c 100644
--- a/tests/test_game.py
+++ b/tests/test_game.py
@@ -2123,6 +2123,12 @@ def test_rollback_keeps_future_and_sets_head(session):
     assert game.rollback_head_checkpoint_id == cp1.id
     assert game.rollback_timeline_version == v0
 
+def test_latest_checkpoint_id(session):
+    game, deep, _, cp1, cp2 = _scene_with_two_checkpoints(session)
+    # Drives the "you are here" button-hiding: during live play this is the current point.
+    assert crud.latest_checkpoint_id(session, game.id) == cp2.id
+    assert crud.latest_checkpoint_id(session, crud.create_game(session).id) is None
+
 def test_redo_after_rollback_clears_head(session):
     game, deep, _, cp1, cp2 = _scene_with_two_checkpoints(session)