But it would not hold the mayor personally liable - even though he was the main target of the newspaper's original lawsuit.
It is called the Handschu case, after the last name of the first plaintiff in the original lawsuit.
Both airlines vigorously disputed that when the government filed its original lawsuit.
The original lawsuit, which it filed even before the report was broadcast, sought $2.47 billion in damages.
At the time of the original lawsuit, Tice strongly denied the accusations.
In most cases, contribution claims are brought like the original lawsuit itself.
The decision by the Fifth Circuit was a victory for the four white students who brought the original lawsuit.
Two students who brought the original lawsuit are appealing.
The person who filed the original lawsuit may get up to 30 percent of the money recovered.
The original lawsuit had sought $5 million in damages.