Black indicated that Stauffer will start on Saturday in a nationally televised game against the Giants on FOX.
Stauffer allowed one run in four innings of a victory over the Dodgers on Monday when Latos, the scheduled starter, fell ill with the stomach flu. That marked the second time this season he's filled in as a spot starter.
"Stauffer has been throwing the ball extremely well all year," Black said. "He feels good about where he is physically and his stuff has been outstanding."
Black surmised that Stauffer could probably throw upward of six innings against the Giants.
Black remarked that he was impressed with Stauffer's velocity against the Dodgers, that he hit 95 mph on a few occasions. Black said that might be the result of the work that the right-handed put in during the offseason.
"A lot of great seasons are made in the offseason," Black said.
Kevin Correia and Wade LeBlanc, who have been bumped from the rotation by rookie Cory Luebke -- who started on Wednesday -- and Stauffer, are available to pitch in relief should they be needed.