The French centre-back looks set to make the switch to Massimiliano Allegri's side, after being suspended by his current club for criticising team-mates and manager Miroslav Djukic for Valencia's slow start to the the campaign.
Valencia president Amadeo Salvo confirmed Rami is in talks with San Siro outfit on Wednesday.
"Rami is a great defender," he told Sky Sport Italia.
"I knew him in the United States and also saw him in the France side, so I can say he's a very good player.
"We hope his qualities can help the team."
He added: "I hope that this season I will score more goals. I have to work hard, but the important thing is that the team wins.
"Our objective is to finish in the top three, as we are a great team with quality players. I believe we can do it."
