"He hit two balls right on the screws yesterday, so hopefully," Sveum said. "We're getting quite a few lefties here in the next week, so that will give us a chance to get him some at-bats and see what he can do."
Vitters batted seventh on Monday against Astros left-hander Dallas Keuchel. The Cubs will face left-hander Fernando Abad on Wednesday and probably draw Pirates left-handers Jeff Locke and Wandy Rodriguez this weekend in Chicago.
Ranked the Cubs' No. 11 prospect, Vitters entered Monday's game batting .085 (6-for-71) with two homers and five RBIs. He hasn't recorded a multihit game since making his Major League debut on Aug. 5.