The outgoing UEFA Champions League holders are 90 minutes away from a second successive European final and take a 2-1 lead into the second leg of their Europa League semi-final at Stamford Bridge.
But the build-up to the game has been overshadowed by Mourinho's strongest hint yet that he could leave Real Madrid for west London this summer.
Asked about the prospect of handing over to Mourinho, an at-times bitter rival when Benitez was at Liverpool, Chelsea's interim boss was not interested in adding fuel to the fire.
He said: "It's not my business. I have to concentrate on this game. That's it. I think it's quite important."
Pressed for his opinion on Mourinho's reference to moving "where people love me" Benitez said: "Each one has his way. My way is to concentrate on the next game, that's it."
Benitez's immediate concern is holding off Thursday's Swiss visitors, who scored twice at Tottenham in the previous round, and moving a step closer to recapturing the trophy he won as Valencia manager nine years ago.
He said: "Winning a trophy is important to everyone. We are not in the final yet and we are playing against a tough team.
"Basel will come trying to score, they did it against Spurs and I am sure they will have the same approach. They need to score.
"We have a good team and we are so close to the final we have to be concentrated. I have a lot of confidence in my players."