The latest developments at Manchester United...
Football Soccer - Olympique Marseille v Paris St Germain - France Cup Final
The Sun also report the deal, elaborating that the Swedish superstar will be handed the number nine shirt.
The claims affect Anthony Martial, who was handed the number this season, replacing Radamel Falcao who wore it a year earlier.
Manchester United's Anthony Martial looks dejected after hitting the post with a header
The paper claim Martial will switch the the iconic number seven shirt worn by the likes of George Best, Eric Cantona, David Beckham and Cristiano Ronaldo.
This will have a knock on effect for Memphis Depay, currently the number seven, who would be switch to another number.
None of this has yet of course been confirmed by the club.
Manchester United's Memphis Depay in action with Norwich's Gary O'Neil
Ibrahimovic is a free agent after his contract with French champions Paris Saint-Germain expired.
He is expected to join manager Jose Mourinho at the club, who he won the treble with in Italy with Inter Milan, with the ex-Chelsea boss' appointment expected to be confirmed any day now.
Chelsea Manager Jose Mourinho shakes hands with United's Gary Neville