The Swede has so far baulked at taking up the 12-month option in his current contract amid talk of offers from LA Galaxy and China.
However, SportExpressen says Ibrahimovic intends to sign a new deal.
Champions League qualification nor financial terms will have an influence on Ibrahimovic's thinking.
Instead, the Swede wants assurances over United's transfer plans. The striker, 35, wants to become the first player to win the league title in four major competitions - La Liga, Serie A, Ligue 1 and Premier League.