The Sun says that Jackson has rejected approaches of the Serie A -Paar AC Milan and Napoli because he wants to stay in the Premier League.
United is interested and has been informed by Chelsea Intermediari's that Jackson can leave for £ 80 million.
Jackson can go through Chelsea Management since the end of last season after the arrival of fellow spiers Joao Pedro and Liam Delap.
Jackson will remain tied to Chelsea until 2032, but falls from the plans of manager Enzo Maresca after being sent twice in his last four games.
Together with United there are also viewing developments Aston Villa, where manager Unai Emery collaborated with the Senegal International in Villarreal.