Judge Michael Lynn has rejected an attempt by the group led by Chuck Greenberg to enhance their offer the Rangers and cancel the August 4 auction of the club.
Lynn made his decision after lawyers for Dallas Mavericks owner Mark Cuban and Houston businessman Jim Crane said their clients were preparing to bid at the auction.
Cuban is reviewing documents, and the auction date and bidding procedures are not a problem for him, said his lawyer, Clifton Jessup.