SURPRISE, Ariz. -- Phil Humber worked three scoreless innings as the starter in the White Sox 7-6 victory over Texas on Thursday afternoon. Manager Ozzie Guillen was encouraged by the way the right-hander attacked the strike zone, throwing 19 of his 26 pitches for strikes.

Humber, in turn, hopes the new cutter he worked on Thursday will help him earn that seventh and final bullpen slot among the White Sox staff. Prior to the contest, Humber told Thursday batterymate Tyler Flowers that he wanted to focus on this particular pitch.

"Most of the ones I threw were good," said Humber, who started the split-squad contest, with Gavin Floyd starting Thursday night against the D-backs. "I got some weak contact on it and that also helped my two-seamer running back the other way.

"It was good for me to see. It's going to be a pitch I'm probably going to use. It was positive today for sure."

The Rangers' Mike Napoli had his bat shattered by Humber on a pitch with one out in the second, but Humber said it was the two-seamer producing that damage.

"Like I said, they complement each other," said Humber, who has been getting help with the cutter from bullpen coach Juan Nieves and picking the brains of other pitchers. "You get guys leaning out and that ball runs back in on them.

"Now it's a matter of knowing when to use it in the game and being confident it will do what it needs to do," Humber added.

Guillen praised Humber for stepping up in the bullpen battle.

"This kid came out and threw the ball well against a pretty good hitting team," said Guillen.

Peavy's post-start review comes back positive

SURPRISE, Ariz. -- In the course of Jake Peavy's amazing ongoing comeback saga, moving toward breaking camp with the team out of Spring Training after completely tearing the tendon that connects the lat to the bone in his right shoulder while pitching last July, progress reports on the day after his Cactus League start stand as important as the start itself.

And Thursday's update from Peavy seemed as encouraging as his one hit allowed over 3 2/3 innings hurled against the Giants on Wednesday.

"I'm a tad bit sore, but everything is normal," said Peavy, who talked to reporters before going to work with White Sox head athletic trainer Herm Schneider. "I got a busy day, but so far, so good.

"I feel fine. I came out of it fine. I told you yesterday I didn't feel that great. It was a grind getting back to as good as I felt. I didn't really bounce back that great and feel as fresh as I wanted to. But I'm pretty sure it's standard for this time of year. I just got to keep working."

A dead-arm period often experienced by starters during Spring Training figures to be a plausible explanation for this less-than-fresh feeling, according to Peavy. It also explains why Peavy didn't "rev the engine up" velocity-wise Wednesday.

"You pull back and get through it healthy and gain some arm strength," Peavy said. "It was a good day, and today is a good day. I'll try to throw some of the soreness out here for a little bit and enough to get on a mound.

"No pain or anything like that. Just my body and arm bouncing back. That whole dead-arm thing. It's just kind of that stuff going on. Nothing pain-wise. Absolutely not."

The knot in Peavy's right hamstring isn't a factor. So if everything bounces back as planned arm-wise, he'll throw a side on Friday and face the Padres at Camelback Ranch on Monday. As for looking a bit bothered as he walked off the mound after issuing a free pass to Buster Posey in the fourth inning Wednesday, that expression dealt with Peavy's perfectionism and nothing at all with his repaired tendon.

"I was in disgust for the walk," Peavy said.

Third to first

Following Thursday, the White Sox have just one other split-squad day scheduled, March 17 at Milwaukee and at Colorado. ... Mark Teahen's three hits, including a home run and a double, against the Rangers raised his Cactus League average to .529 in 17 at-bats. ... While pursuing Teahen's opposite-field home run in the sixth, Texas left fielder Craig Gentry ran through the unlocked bullpen door. Catcher Donny Lucy made the catch of the drive in the White Sox bullpen.