Manchester United have agreed a £75 million deal to sign Belgium striker Romelu Lukaku from Everton, ESPN FC reported.
The site added that the Red Devils have also stopped negotiations with Real Madrid over Alvaro Morata after the Spanish side refused to drop their asking price.
They are hopeful a deal for Lukaku can be completed in time for the Belgium striker to be in the squad that departs for the preseason tour of the United States on Sunday.
The agreement with Everton does not involve Wayne Rooney heading the opposite way.
However, negotiations are set to continue between United and Everton to take the 31-year-old back to Goodison Park.
The United manager knows Lukuku from his time in charge at Chelsea. It was Mourinho who sanctioned Lukaku's sale to Everton in 2014.
The 24-year-old has become one of the Premier League's most prolific strikers in his three seasons at Goodison Park, scoring 71 goals in 133 games.
However, Lukaku has made no secret of his desire to play in the Champions League.