But they face stiff competition from Derby County for the on-loan winger, according to today's Daily Star.
Ince has enjoyed a profitable spell at the Rams after a somewhat difficult first year at the KC Stadium.
11 goals in 18 games points to a good account under Derby boss Steve McClaren.
County, who missed out on the play-offs this season, are ready to offer £3m for Ince, reports state in today's Daily Mail, but Leeds United – backed by owner Massimo Cellino, who's just returned to the club's board – are also keen to land the former England under-21 international.
Neil Redfearn, who is out of contract and waiting for his future at United to be resolved, is said to have handed Cellino a hit-list of potential signings, which include QPR captain Joey Barton and Stoke's Charlie Adam.
The Whites are planning a bid to return to the Premier League next year, and they are determined to spend big to achieve their goals.