USATODAY.com reports that Jeffrey Kessler, the lawyer for the limited partners, said the group will drop its attempt to gain an injunction to block the move.
Baseball owners are set to vote on the relocation this Thursday when they meet in Chicago.
In a suit filed in July 2002, the 14 limited partners accused Loria, baseball commissioner Bud Selig and several others of violating federal racketeering laws, mail fraud and wire fraud in an attempt to eliminate the Expos, saying their 76 per cent share of the Expos became a six-to-seven per cent stake in the Marlins.
Four months later, the suit was put on hold by a federal judge, who told the limited partners to take their case to arbitration first.
But the judge reserved the right to block a move, and a hearing was scheduled for December 6 in Miami.
Kessler said: "Frankly, we're more disappointed for the fans of the Montreal Expos than we are for ourselves. We thought we were right but the arbitrators disagreed, and this appears to be the end of the road."
Loria sold the Expos to the other 29 teams before the 2002 season and purchased the Marlins from John Henry, who headed the group that bought the Boston Red Sox.
