The Portuguese boss has been earmarked as Mourinho's replacement, and according to Sacha Tavolieri, Benfica have "reached an agreement" with the Fulham manager.
Silva will sign a two-year contract with the Eagles and manage his final game for the Cottagers against Newcastle United on Sunday, marking the end of an incredible five years at Craven Cottage.
Aleksandar Mitrovic, who played under Silva for over two years, predicted that his former manager would eventually join a top club, and that move is coming to fruition.
In an interview with Flashscore last November, Mitrovic said: "There is not just one thing to pinpoint, I think he is amazing in every aspect - tactics, man management, he sees football really well. He's an amazing guy, and I honestly don't know how he's not in a top club yet.
"Nothing against Fulham, it's a great club that I really love, but I think he should manage a team like Liverpool, Chelsea or Manchester United, a side that should fight for the Champions League. I think he's done a great job at Fulham and hopefully he will soon reach even greater heights."
Silva has won 103 of his 228 matches in charge of Fulham, and he will hope to bow out with a 104th victory on Sunday.