Bridcutt, 26, joined Leeds on loan back in November having struggled for first-team football at Sunderland, and he has so far become a key player under Evans at Elland Road.
The midfielder played a major role as Leeds earned a 0-0 draw at Charlton Athletic earlier today, but there is some confusion over his future.
Sunderland boss Sam Allardyce made concerning comments for Leeds fans this weekend, telling The Chronicle that the Black Cats could look to sell Bridcutt in January to another club, with the report stating that Leeds are unable to finance a permanent move.
Losing Bridcutt, especially to a Championship rival, would be a huge blow for Leeds, given how important and impressive he has been during his short time at Leeds so far.
After today's game against Charlton, Evans was asked about the situation surrounding Bridcutt's future, and tried to ease the concerns of Leeds fans.
Evans, as quoted by Sporting Life, says that he won't cut across Allardyce over Bridcutt's future, but believes there is a gentleman's agreement in place to keep him at Elland Road until the summer - and added that the midfielder hugged him and said he loves playing for Leeds after the draw at Charlton.
"I'm not going to cut across Sam, but Bridcutt will be the one who has the final say," said Evans. He has just hugged me in the dressing room and said how much he is loving it. Imagine how much more he will love it when we win in front of 30,000 fans at Elland Road," he added.