Hahn understands that fans clamor for talent additions during the winter meetings, when teams are busy setting their arsenal for the upcoming season. He cautioned, though, that plenty of time remains to make more additions.
"We are not at the point where we feel we're done," Hahn said. "We're still in talks with a number of different clubs, as well as free agents. And may well have additional moves in the coming weeks."
Adding Keppinger, a utility infielder by trade, appeared to give the White Sox a player who could pick up the bulk of the starts at third base in 2013. Assuming A.J. Pierzynski doesn't come back and Tyler Flowers gets the job as the starting catcher, the regulars for the upcoming season would appear to be set.
But Hahn won't close his mind to adding any type of player, even if it's a potential starter at a position that appears to be set.
The White Sox are still interested in adding a left-handed bat to diversify the lineup.
Since Keppinger bats from the right side, that need was not taken care of Wednesday.
"It's a priority," Hahn said. "It's something we still spend a lot of time talking about. As we said, our current roster today would only have (Alejandro) De Aza and (Adam) Dunn on an everyday basis from the left side.
"Dewayne Wise can start against certain righties and Jordan Danks if he's on the club at that point. (Hector) Gimenez, being a switch hitter, does give you flexibility at catcher if he's the backup and A.J. is elsewhere. But it's still something we're focused on and looking for possible solutions."
Another area of focus would be the bullpen.
"It's something we talked to other clubs and free agents about," Hahn said. "That Brett Myers role is where the vacancy is. It's internal candidates, whether it's (Brian) Omogrosso or (Jhan) Marinez, who had a wonderful year at Triple-A who could step in and will be given the opportunity in (spring training) to fill that role. But we may bring in someone from the outside, too."