The Mirror reports that a host of clubs have been put on alert with the young goalkeeper weighing up his options.
Championship sides Aston Villa, Nottingham Forest and Wolves are also monitoring the situation, while there is also interest from around the continent.
Benfica, Olympiakos and Udinese have all expressed an interest in the young goalkeeper too.
The 20-year-old is currently out on loan at Shrewsbury, who are flying high in League One.
Henderson is highly thought of at Old Trafford and he has represented England at U-16s, U-17s and U-20s. He was part of the successful World Cup winning squad that lifted the famous trophy over the summer.