The fight for ownership of the Sacramento Kings, one of the N.B.A.’s most beleaguered franchises, will take a big step toward resolution Wednesday when the league’s owners vote on a recommendation that the team be prohibited from moving to Seattle.

But in the run-up to the vote, which will take place at the league’s board of governors meeting in Dallas, the two groups bidding for the Kings continue to raise the stakes.

On Friday, the group led by Chris Hansen, a hedge fund manager who wants to buy the team and move it to Seattle, increased its bid for the 65 percent of the club owned by the Maloof family by about $49 million, a 14 percent jump. The additional money would raise the value of the team to $625 million from $550 million.

The more lucrative offer prompted the Maloofs — who seek the biggest payday possible — to claim that if the N.B.A. blocked Hansen from buying the Kings, they would remove their offer to sell their 65 percent stake in the club, according to ESPN.com.