Italian daily La Stampa reports that Morata could be set for a move to Old Trafford, but he could end up moving to United via former club Real Madrid.
The Spanish side are set to re-sign the striker, but does not have any intention of using the striker.
Real Madrid instead plans to offload the striker to United on loan or permanently.
Morata has scored seven goals in 32 appearances for the Old Lady this season.
