Lawyers for the team have petitioned a federal bankruptcy court in Delaware to allow a future auction of the rights.
The move comes with the tacit approval of Major League Baseball and the current rights holder, Fox's Prime Ticket.
Until recently, Fox has opposed owner Frank McCourt's effort to sell the TV rights, a vital step for McCourt to pay off creditors, including his ex-wife, Jamie.
Major League Baseball also said no, viewing the sale as a looting of team assets.
Fox has tied up negotiating rights through Nov. 30, 2012, and owns the TV rights for the next two seasons.
Those rights include an exclusive negotiating period, in which other companies cannot bid to broadcast games. Time Warner Cable is a possible rival to Fox in seeking the Dodger contract as a partner to Los Angeles Lakers broadcasts on its new Los Angeles sports channel.
City News Service contributed to this report.