Agent Mino Raiola met with Zlatan Ibrahimovic on Saturday to discuss Manchester United's offer.
United are prepared to offer the 34-year-old a one-year contract worth £220,000-a-week.
Ibrahimovic left Paris St-Germain this summer after four years and four league titles in France.
Ibrahimovic said recently that he “had a fantastic time with (Jose Mourinho) at Inter and we said when I left that we might work together again”.
Ibrahimovic will fly to Manchester to meet with Mourinho during the first week of July.