Svoboda overcame a double bogey for a 66 and will have his best chance for his first PGA Tour win.
They were at 12-under 198, though the final round at Sea Island still has the trappings of a shootout.
Russell Henley, the 36-hole leader, made only one big mistake in the third round and it cost him. He hit his approach into the water on the par-5 15th for a bogey. Henley had a 68 and was one shot behind.
Stewart Cink shot a 63 and was among those just three shots behind. Nine players were within four of the lead.