"I have read this kind of speculation, but I am staying quiet," Galliani said.
"We are staying calm. I have read about Allegri but I have never spoken to him. There is so much alleged news that I don't have time to refute it all.
"I am just speaking to Ancelotti and I hope to keep dining out with him as I am this evening."
On the prospects of injury-plagued defender Alessandro Nesta playing on, Galliani added: "With are waiting for Alessandro and we will continue to wait.
"Milan don't intend to give up on him because he is a great champion. We still hope that he can return to the Rossoneri team.
"We wouldn't have achieved so much in the Champions League without him. He has been a crucial player for Milan and we hope he continues to be."