Ramos's existing deal at the Bernabeu is due to expire next June, and a recent report claimed that Los Blancos had still not offered the 34-year-old a new contract.
United are allegedly interested in signing the Spain international, and Berbatov is confident that "it would work out well" for both parties if the former Sevilla youngster joined Ole Gunnar Solskjaer's side.
"There has been a lot of speculation about the future of Sergio Ramos - according to reports both the player and club are yet to come to an agreement on a new contract. With Ramos 34 years old, they are probably fighting over a one-year or two-year contract," Berbatov told Betfair.
"Thiago Silva, who is even older at 36 years old, has proven that it is never too late to move to the Premier League and so far it is working out well for the Brazilian.
"I'm sure if Ramos wanted to move to a club like United then it would work out well for him too. He's in great shape, he's still a world-class defender and in my opinion there's still a lot of football left in him.
"I see him as a Real Madrid player, however, and I think player and club will find a solution and he will stay. I'll be surprised if he leaves, but if things don't work out then I'm sure a lot of clubs will be interested in him."