The Sun claimed on Saturday that Sir Alex has told the Italian giants that he will pay £35million to ensure that Argentinian Crespo is playing at Old Trafford next season.
A front pairing of Van Nistelrooy and Crespo would leave the Red Devils light years ahead of their nearest opposition.
The Rome outfit may request a return of Juan Veron, who has struggled to make an impact at United, but it is thought that Crespo would be keen on linking up with his former team mate in the Premiership.