When questioned if there was any more beyond that goal, Ventura said the playoffs would suffice for starters.
"I'd figure that out when we get there," Ventura said. "But that's the first thing that needs to happen."
• Beyond Dylan Axelrod and Hector Santiago, Hahn listed Andre Rienzo, Simon Castro and Erik Johnson as Minor League starting pitchers who are poised to help the big league club this season.
"Quite frankly, there's a pitcher such as a Jose Quintana last year who just throws the ball real well for six or seven starts and he pushes his name to the top of the list," Hahn said. "One thing we made clear to the guys in the clubhouse down in Spring Training or when we send them out, we don't really care about pedigree or reputation. That's the tone [former GM] Kenny [Williams] set from Day 1, 12 years ago."
• Adam Dunn entered Monday tied with Ken Griffey Jr. and Frank Robinson for the most career Opening Day homers in Major League Baseball history with eight.
The White Sox acquired non-roster first baseman Lars Anderson from Toronto for cash considerations. Anderson, who began Spring Training with the White Sox but was designated for assignment after the club acquired Conor Gillaspie, has been assigned to Triple-A Charlotte.
Scott Merkin is a reporter for MLB.com. Read his blog, Merk's Works, and follow him on Twitter @scottmerkin. This story was not subject to the approval of Major League Baseball or its clubs.