MIAMI — With Florida’s election schedule in disarray after a judge ruled the state’s congressional map unconstitutional, state lawmakers moved one step closer to resolving the uncertainty during a special session on Friday in Tallahassee.

Redistricting committees for both the state House and Senate on Friday approved a redesigned congressional map — drawn in private by the two Republican committee heads, members of their staff and outside lawyers — that they expect will comply with the court’s orders. The redrafted map makes relatively minor changes to the two congressional districts that were ordered redrawn: the Fifth District, held by Representative Corrine Brown, a Democrat, and the 10th District, held by Representative Daniel Webster, a Republican.

In all, seven districts in Central Florida would be slightly affected by the rejiggered map, which is expected to be approved early next week by the Republican-controlled Florida Legislature.

“We were able to get further than I imagined,” said Senator Bill Galvano, the chairman of the Senate’s reapportionment committee, summing up the rush to redraw the map.