Rodolph Austin is set to hold talks with Leeds United after Brann accepted an offer for the Jamaica international midfielder.
Leeds manager Neil Warnock stated last week that talks were ongoing regarding a deal for Austin, who is out of contract at the end of the year.
Warnock is a long-term admirer of Austin after taking him on trial during his time at Queens Park Rangers and is now finally set to land his man.
Brann confirmed a fee was agreed between the two clubs on Sunday night and Austin is due to travel to England to discuss personal terms and undergo a medical.
"We agreed with Leeds on the conditions for a transfer on Sunday night," Brann's sporting director Rolf Magne Walstad told the club's official website.
"There has been the calculation for us where we had to measure Rudy's value and the financial side of such a transfer, and we also believe that the player deserves the chance to move to Leeds now.
"Negotiations have been slow, partly because the distance between what Leeds would pay for the player and what Brann wanted to get was great, and partly because we had the desire to keep Rudy at Brann for as long as possible.
"Rudy has given a wonderful effort for Brann for several seasons and we think it is right that he should have this opportunity now.
"Since this interest became known it was clear that he wanted to continue his career in England if the clubs agreed a transfer."