Speculation has been rife that the goalkeeper could exit San Siro in the summer, but it now appears he will extend his 15-year stay at the club
The Italian shot-stopper has been a San Siro player since 1998 but has spent stints on loan with the likes of Juventus and Atletico Madrid during this spell.
The 35-year-old will see his deal with the Rossoneri run its course at the end of next month, but the Milan vice-president has insisted that a new contract is just around the corner for the Massimiliano Allegri's No.1.
"There is no doubt that the contract will be renewed for Abbiati," Galliani told reporters on Tuesday. "He is one of the most important elements of our team that we never questioned not renewing, it only lacks the signatures.
"Against Torino he gave yet another signal of his value to us; we do not want to deprive ourselves of what he brings to the team."
Milan are currently four points clear of Fiorentina in third place with three games to go and could secure a Champions League berth if they beat Pescara on Wednesday and the Viola lose at Siena.