Tate has backed Rodgers for success at Anfield.
He said: "He's a great man-manager, he's a great motivator. To be honest he doesn't settle for second best.
"He'll be one of those people who will walk into Anfield and just be a breath of fresh air to the players and to the whole set-up that's at Liverpool.
"Obviously if he does decide to go we'll be sorry to see him leave, but when he goes into Anfield they'll have a very good manager and I'm sure he'll be successful there."