The 100-year-old landmark near downtown was damaged and the inside covered with soot after a fire in one of the stalls Jan. 30. It's been closed since then.
Officials said it's not clear how many vendors will be able to open by Monday because some are still replacing product that had to be thrown out after the fire.
The city fire department has not yet released its report on the cause of the fire, but there have been no signs of foul play.
Before the opening, the city health department will perform final inspections at food stands and in basement coolers.