The Shields Gazette reports that Sunderland have offered the teenager a contract, in a bid to head off interest from rivals.
Reports claim that Liverpool, Tottenham, Ajax and Roma are keeping tabs on the highly-rated youngster.
The Halmstad striker scored a hatr-trick for Sweden against Argentina in last month’s under-17 World Cup in Abu Dhabi.
Berisha finished the tournament as top scorer with seven goals.