Gianluca Di Marzio reports the big Swede has not formally extended his time at the San Siro.
Ibrahimovic, 38, joined the Rossoneri in January on a short-term deal.
But he exceeded expectations, bagging 11 goals and five assists in 20 games in all competitions.
And Milan look set to reward him for his role in helping them qualify for the Europa League next season.
Reports suggested he would be handed a new one-year deal worth £104,000 a week.
But at the moment there is no sign Ibrahimovic will ink his new contract anytime soon.
The former Manchester United striker is currently enjoying a holiday in the French resort of St Tropez.
And he has shown off his ripped physique as he keeps himself in top nick despite his veteran status.
Stefano Piolo’s side are confident he will stay after he was pictured in Milan’s 2020-21 kit launch.
The images dashed hopes of Leeds fans as the Championship winners had been linked with signing Zlatan.
The Elland Road faithful were hopeful of landing a big-name striker to spearhead their Premier League return and may yet sign Edinson Cavani after his Benfica move reportedly collapsed.