The 46-year-old has stressed that Sunday's match against Catania should be all that matters for the players at this point
Galliani announced on Friday that he intends to step down from his position as CEO after Milan's Champions League encounter with Ajax on December 11 following a conflict with board member Barbara Berlusconi.
However, Allegri has stressed that Sunday's match is all that counts at this point.
"It’s a delicate situation and at this moment talking about it makes no sense. We need to focus solely on results and climbing the league table," Allegri said at a press conference.
"Everybody works for the good of Milan. I’ve only got the responsibility for the playing side of things. We should not be distracted by what happens off the pitch.
"It will be difficult against Catania and important for the championship. After beating Celtic in Glasgow, we need to throw ourselves back into the championship and win."
Milan currently sit only 13th in the Serie A table with 14 points from 13 games.