The decision to play a 16thseason with the White Sox is in Paul Konerko’s hands, general manager Rick Hahn indicated Tuesday at the GM meetings.

Hahn and manager Robin Ventura met with Konerko last week in Phoenix to discuss the veteran first baseman’s feelings about whether he wants to play for the Sox for one more season, retire or play for another team. The Sox captain continues to weigh his options, Hahn said.

Konerko’s status with the Sox appeared to be in question late last month when the team signed Cuban first baseman Jose Abreu to join a roster that also includes first baseman/designated hitter Adam Dunn. But Hahn said Tuesday that he thinks there is an opening for Konerko on the team next season should he want one.

“It’s a matter of everyone’s comfort level and him getting convinced that that’s what he wants to do,” Hahn said.

“ ... We had a real good open and honest conversation about where his mind is at and his hopes for going forward, and a good talk about the club and our hopes for moving forward. At this time, he’s still going through his process of deliberating about what he wants to do next year.”

Hahn said he expects Konerko to make a decision by the baseball winter meetings in mid-December.