CHICAGO -- The name of White Sox pitcher Daniel Hudson has been bantered around in so many trade rumors that it seems only natural for Hudson to think about these possible destinations where he could end up.

"Sometimes," said the low-key Hudson with a smile. "Obviously, with my name being thrown in, I sort of think about, 'Where would I want to go?' It's not saying I don't want to go anywhere, but Washington is close to home [Virginia]. Arizona would be a good place.

"But if they trade me, they are doing what's best for the organization. There's nothing I can do about it."

Hudson presents an interesting issue for the White Sox. He stands as probably their top realistic trade chip in pursuit of a left-handed bat such as Washington's Adam Dunn or Milwaukee's Prince Fielder. With Jake Peavy done for the season due to injury, though, there's really nobody to replace Hudson in the rotation if he's moved.

Granted, the fifth spot could be skipped with three off-days in August and three more in September, but manager Ozzie Guillen doesn't want to wear down his staff before they make the playoffs -- assuming they make the playoffs. All of these possibilities haven't weighed upon Hudson, who chalked up Sunday's problems in a loss to Oakland to consistently falling behind 2-0 and 3-1 in the counts and being forced to come in with fastballs.

Nonetheless, the 23-year-old right-hander will be glad when July 31 comes and goes.

"It will be a little weight off of my shoulders," Hudson said. "To be honest, I'm pretty excited to get past that day and get it out of the way. I don't know what's going to happen. I do know I have to throw strikes."

Teahen cleared for full baseball activity

CHICAGO -- A Monday visit to the doctor brought the news Mark Teahen wanted: he was cleared to participate in full baseball activity.

"Basically, the X-rays looked good and the bone and joint are healed well," said Teahen, who fractured the tip of his right middle finger while fielding an Evan Longoria grounder on May 30 in Tampa. "I can do everything without risking hurting it again. I was able to throw a little bit and hit with two hands. It went better than I expected."

Teahen speculated how a Minor League rehab assignment would take place when the White Sox next go out of town, meaning the start of August. The left-handed hitter could be helping the White Sox as a super-utility player by the time they return to host Minnesota on Aug. 10.

The return of Teahen could serve as another team move without giving up any prospects to acquire a left-handed bat.

"One thing that's going to happen very soon is Mark Teahen is going to come back and that's a left-handed bat that is a good left-handed bat, and he's proven that he can hit in this league," White Sox general manager Ken Williams said. "So, we're not completely void from having that."

"I've been counting down the days for a while," said Teahen, who admitted the feel on handling grounders still seemed a little strange. "It's exciting to feel like a baseball player again."

Jenks remains the White Sox closer

CHICAGO -- White Sox manager Ozzie Guillen reiterated Monday how late-inning stumbles in Minneapolis and Seattle on the team's recent 4-6 road trip didn't cost Bobby Jenks his closing job.

"I never took the job away from Jenks. I never did," Guillen said. "I just said I want Jenks to throw the ball better and we will put him in a position to get back on track to see what he is. I keep saying this.

"We're a good ballclub. We're a better ballclub if Bobby is our closer because that makes a lot of things easier for us. He threw the ball better, yes he did. The sooner I see Bobby back on track, he will be back to what he does. I won't hesitate. I will do it right away if we like the way he throws the ball. He will be back to his job."

Sale has mixed results on Monday

CHICAGO -- Chris Sale was taken deep for the second time in his past three appearances, with Alex Presley connecting off the southpaw in the seventh inning of Indianapolis' 8-5 victory over Triple-A Charlotte on Monday. The White Sox top pick in the 2010 First-Year Player Draft and 13th overall walked two but struck out Kevin Melillo, Akinori Iwamura and Luke Carlin with the bases loaded to limit the damage.

In nine Minor League appearances since joining the organization, Sale has a 3.12 ERA with 14 strikeouts and five walks over 8 2/3 innings. Opposing hitters have a .188 average against him.

Third to first

White Sox starters are 24-9 with a 2.61 ERA and 34 quality starts in their past 42 games. ... The team has a Major League-best 30-11 mark since June 9. ... Sergio Santos made his 10th straight scoreless appearance, covering 9 1/3 innings, and made his 13th scoreless appearance in his past 14 on Monday night. ... Juan Pierre sits just five stolen bases short of 500 for his career and tied Clyde Milan and Willie Keeler for 37th place with his 36th stolen base during Monday's 6-1 win over Seattle. ... Carlos Quentin has 33 RBIs in his past 29 games.