Bridcutt was Evans’ first signing at Elland Road, and the central midfielder has made a positive impression since joining on loan from Sunderland.
The 26-year-old’s temporary spell at Leeds is due to expire in January, but Evans is optimistic that a deal can be done to keep him with the Whites for the long-term.
“That final decision lies with Liam and Sunderland football club," Evans said, when asked whether he was confident Bridcutt would stay. "We have made it clear that we would like to keep him and there is a verbal agreement between the two clubs to keep him.
“Liam has told me he would love to stay, so that discussion now lies at boardroom level to see if the gentleman’s agreement is actually agreed.
“But if someone offers a lot of money to Sunderland for him, we wouldn’t want to stand in that young man’s way.”
Bridcutt has played in every match he has been at Leeds for, and he has now racked up seven appearances for the Whites.
The former Brighton & Hove Albion man has not looked short of match sharpness, and his performance was highly impressive against Derby County last night.
Bridcutt was very combative in the fixture, as Leeds picked up a credible 2-2 draw.
And Evans said: “I think the supporters will see that if I’m going to add to the group, it’s players that will befit wearing the Leeds shirt.
“I don’t think there’s one Leeds supporter who won’t believe that Bridcutt isn’t a good, good player for this football club.”
Leeds draw with Derby has put them into 12th place in the Championship table - nine points away from the play off spaces.
The Whites’ next match comes against Milton Keynes Dons on Saturday.