But manager Ozzie Guillen doesn't want to burn out the two pitchers before September crunch time. Picking up an extra quality arm could be a necessity, unless Brian Bruney can pick up where he left off on Saturday, when he pitched 2 1/3 scoreless innings.
Bruney has been scored upon during just two of his 10 appearances this season, including a two-run home run hit by Washington's Mike Morse on Friday. He feels comfortable with the White Sox, and the White Sox seem to feel comfortable using him in pressure situations.
"From what I've seen so far, the coaches do a really good job of putting guys in the situation where they can succeed," Bruney said. "Whether that's a righty coming in to face righties or lefty to face lefties.
"It's a little early to talk about finding a home, but I do enjoy it here and hopefully they like what I can do."
Right-handed reliever Tony Pena, who is working on a one-year, $1.6 million deal for 2011, currently is on a Minor League rehab assignment for elbow tendinitis covering four appearances for Triple-A Charlotte. But he felt tightness in his arm after leaving Friday's outing.
No arm issues exist for Bruney.
"This is the first year my arm never gets sore," Bruney said. "So, the weight training that [director of conditioning Allen Thomas] does and the strength program I think really works well for relievers most of all.
"For me, it works really well. I feel fresh every day. You just gotta do the thing to prepare for the next day, because I think one thing I've kind of tried to do this year is just focus on that day rather than what I've done or what's about to be done."