The Frenchman has admitted that the Turin side deserve a second-consecutive Serie A success and is keen to help the San Siro outfit to third place in the table
The Turin giants currently hold an 11-point lead over second-placed Napoli and will be crowned Italian champions if they beat Torino on Sunday and the San Paolo side drop points against Pescara.
"Juventus deserve the title. They have dominated this season," Flamini was quoted as saying by Corriere dello Sport.
"We made a pretty poor start to the season. We recovered in the second half of the season, but it was too late to compete for the title. We cannot forget about our start."
The Frenchman then went on to stress that Milan will do their utmost to finish in third place this season in order to secure Champions League qualification.
"We are aiming for third place. Finishing third is very important to the team, the fans and the entire club. We want to win as much as possible and coming in third is possible.
"We did not lose a single game in Serie A from December until last Sunday [against Juventus]. The defeat versus Juventus was just an incident."
Milan currently hold a one-point lead over fourth-placed Fiorentina, with Inter trailing by six points in fifth position.