General manager Rick Hahn isn’t quite ready to break up the Chicago White Sox despite being 9 ½ games out of first place in the American League Central and receiving an increasing number of telephone calls from other executives.

“I know there’s frustration in the clubhouse,” Hahn said Monday in the visitor’s dugout at Target Field. “There’s obviously frustration among fans, among staff. But we do have a fair amount of time left to get this thing right.

“We’ve been saying that for a while now, and it is obviously time to get going if we’re going to make that run. But despite the frustration and the disappointment thus far, I don’t think there’s a reason to believe this is going to continue.”

Hahn said calls from other teams have increased since the end of the amateur draft on June 8.

“Given the way we’ve played thus far, it’s not a surprise that we’ve had some phone calls, the vulture-type phone calls that traditionally we’re more accustomed to making,” said Hahn, whose Sox are 29-38 and in last place in the AL Central. “But that’s part of what the hole we’ve dug for ourselves, is that teams are going to look at us as potential sellers when the deadline comes, and they’re starting to lay some of the groundwork now.”

The Sox have several players who could attract playoff contenders, such as relievers Jesse Crain, Matt Thornton and Matt Lindstrom, right fielder Alex Rios, shortstop Alexei Ramirez and pitcher Jake Peavy once he returns from a rib fracture in late July.

Hahn would address the status of certain players but admitted if the Sox get to the point of moving players, “we’re going to be pretty popular. We already have received a fair amount of phone calls, and I suspect that will continue unless we turn this thing around and start being the ones on the dialing end of things looking to pick off other club’s valuable players.