A Texas House panel on Saturday advanced a draft congressional map aimed at adding five new Republican districts next year over protests from Democrats that the proposal would suppress the votes of people of color.

The full Texas House will now vote next week on a map drawn to flip five House districts to the G.O.P., but Democrats might walk out to deny Republicans a quorum.

Texas Republicans' effort to grow their majority by redrawing congressional maps could hinge on the support of Latino voters, some experts say.