Leeds - England were set a target of 359 to win the third Ashes Test after they bowled Australia out for 246 in their second innings on Saturday's third day at Headingley.
Marnus Labuschagne top-scored with 80 before he was run out.
It was Labuschagne's third successive fifty since coming into the side as international cricket's inaugural concussion substitute in place of star batsman Steve Smith in the drawn second Test at Lord's.
Only three teams have scored over 300 in the fourth innings to win a Test at Headingley -- Australia (404-3 in 1948), England (315-4 against Australia, 2001) and West Indies with 322-5 against England two years ago.
Australia lead this five-Test series 1-0 and victory at Headingley would see them retain the Ashes at 2-0 up with two to play.