The midfielder joined up with the club last month on a loan deal.
The midfield maestro could not buy a game at Sunderland under new boss Sam Allardyce or previous gaffer Dick Advocaat after the man that signed him, former Brighton manager Gus Poyet, was relieved of his duties on Wearside.
It has been reported this week that his former club Brighton could be set to bring him in permanently in January but Evans is confident that Bridcutt will stay with the club.
However Sunderland boss Sam Allardyce might have other ideas. He told the Chronicle Live this week that he would prefer to sell Bridcutt permanently and even mused over potential moves to Brighton or Greece:
“It’d be a better option for him and us if we could sell him, no doubt about that. Certainly, his career needs to get back on track and realistically, his career is not at Leeds and not here.
“If Brighton are interested in taking him back where he had such a good career, then it would be better for us all if that was the case.
“The more finance I create, the more able and capable I am to recruit in January.
“Liam has not been happy with not having the chance in the first team and needed to get away and play some football.
“I personally thought he’d have gone with Gus (Poyet) to Greece (where he is manager at AEK Athens).
“Gus spoke about him so highly, but I don’t know if that was an option. I never got a call from Gus anyway.”
Bridcutt was superb in Leeds' win against Hull City last week and they need a player like him in the midfield area to unleash the talent around him.
Leeds have an agreement with Sunderland and Bridcutt over his extension in January but it would seem that if Sunderland receive a permanent offer for the midfielder they will not hesitate in sending him away to the detriment of Leeds United.