Only 30 overs were possible on Saturday, with plenty more rain forecast on what could be a frustrating final day at Old Trafford.
Australia are more than happy to settle for a draw that would see them retain their 2-1 lead and the urn, meaning England will be forced to make the most of whatever windows of play are possible.
They have already been frustrated by a 103-run stand between centurion Marnus Labuschagne and Mitch Marsh, but saw their prospects rise when Joe Root had the former caught behind.
There is little margin for error after their 275-run first-innings lead was whittled down to 61 by the tourists, who will resume on 214-5.