Kevin-Prince Boateng and Stephan El Shaarawy have come out in support of their boss ahead of their crucial final-day fixture at relegated Siena on Sunday.
Victory will secure the Rossoneri a place in next season's Champions League, although that may not be enough to save Allegri's job.
"He did great work in these three years and needs to stay. In my view, there cannot be a Milan without Allegri," Boateng told fans on the 'Google Hangout' site.
"Next year we have to do better, as there were so many new players this time. We need to work together so we can win the Scudetto."
El Shaarawy has enjoyed a breakthrough season under Allegri and hopes he stays on.
The goals have recently dried up for the young Italy striker - who was arguably Milan's most consistent performer during their poor start to the campaign - but he is determined to go out on a high and try to help strengthen Allegri's position to remain.
"Personally, scoring a goal on the last day would cap off a great season for me," he told the Milan Channel.
"It's been a crazy season, especially the first part of it. I was top scorer in the league at one point, so it's been very satisfying indeed.
"Goals haven't been going in for me recently but the coach has said he is happy with my work anyway. We are a good bunch of lads here, led by a great coach and I hope that we all stick together for next season."
Allegri was involved in a dispute with one of his players yesterday, however, when striker Robinho was sent from the training ground early following a clash with his coach.
The Brazilian later played down the incident on his Twitter page, writing: "It happens sometimes in training have a problem. We are men, but now everything is ok. Forza Milan."