Voters living in the 1st and 12th Congressional Districts sued in October, alleging the boundaries constitute racial gerrymanders. They've asked a three-judge federal panel to prevent future elections under the maps.
Attorneys for Gov. Pat McCrory and legislative leaders asked this week that rulings be delayed until lawsuits in state court challenging congressional and legislative maps conclude. The state Supreme Court heard arguments in January.
Lawyers in the federal case met Wednesday in Greensboro with one of the judges.
The General Assembly approved the maps in 2011. The maps were used for the 2012 elections.