CHICAGO -- The White Sox began a nine-game homestand on Tuesday with three games against the Texas Rangers. The club entered the day 8 1/2 games behind the American League Central-leading Twins, and the nine-game homestand -- with three games in Wrigley Field following it -- gives the White Sox an opportunity to make noise in their division.

After facing the Rangers, the White Sox will take on AL Central rivals the Cleveland Indians and Detroit Tigers at U.S. Cellular Field.

Manager Ozzie Guillen sees the stretch as a time for the ballclub's management to begin making decisions about whether the club wants to be a buyer or seller when the Trade Deadline arrives at the end of July.

"This is a big, big, big homestand for us," Guillen said. "We have, like, a month in Chicago. It's a big homestand. Hopefully, we'll play well, and on this homestand, we're going to show the fans, Kenny [Williams, the White Sox general manager], Rick [Hahn, the assistant general manager], and Jerry [Reinsdorf, the White Sox chairman] how good we are or how bad we are. Then they can start making decisions. To me, we're going to see if we are going to add or subtract people."

Even if the wins do not come for the White Sox, Guillen still would like to see continued effort from his team.

"I hope we continue to play the way we play," said Guillen. "I hope we continue to believe we can do this and continue to fight. We play hard. We fight all the way through. We just can't win games. [I] still believe we can get out of this and play better."

Williams said he did not believe there would be any timetable for decisions about the future of the team, and he still felt confident in the club's ability to turn it around.

"Listen, you've got June, July, August and September," Williams said. "I would hope that, in the end, the results will be more commensurate with the talent. I can't place any deadlines on that, because I believe in these guys. I have no plans to do anything right now except watch, just like you guys. If there's a tweak that can come here or there, if something makes itself available, then you know our history."

History indicates that Williams will not shy away from making big or unconventional deals. Last year alone, he traded for Jake Peavy while the right-hander was on the disabled list and picked up Alex Rios' sizable contract in a waiver claim from the Blue Jays.

"I don't have a deadline," Williams said. "I just hope we put together something that resembles a streak of some sort. But I don't have a date. I don't have a deadline. I still believe in these guys and the ability that they have. We just need to play better and be more consistent."

Jenks could receive one more off-day

CHICAGO -- White Sox closer Bobby Jenks is available for Tuesday's opener against the Texas Rangers, but he is not likely to pitch.

Prior to the game, Jenks casually said that he was available to pitch, but manager Ozzie Guillen expressed some doubts.

"I don't want to take a risk," Guillen said. "I might give him another off-day. He hasn't pitched in, what, four or five days? He's got to be out there. No matter what the game is, we're going to try to put him in there the quickest we can."

Jenks tweaked his right calf while doing extra conditioning before Friday's game against the Tampa Bay Rays. He has not pitched since.

The tweak is in a different spot than the right calf injury that bothered him in Spring Training and last season.

Lillibridge arrives, despite travel delays

CHICAGO -- White Sox second baseman Brent Lillibridge learned the hard way that rush travel on Memorial Day can prove difficult.

Upon learning that the White Sox had promoted him from Triple-A Charlotte to the Major League squad, Lillibridge had to get from Pawtucket, R.I., to Chicago for Tuesday's game against the Texas Rangers.

"Don't travel on Memorial Day," Lillibridge said. "I didn't have a choice, but [there were] a lot of cancellations and a lot of weird stuff. Bags got lost. So we put in a call to find my bags. I'm wearing [Mark] Kotsay's cleats and [Gordon] Beckham's glove and hoping for the best. We'll see if the bags show up before game time, but we'll do whatever it takes."

Lillibridge was called up after third baseman Mark Teahen was placed on the disabled list. Lillibridge was batting .270 with four home runs and 16 RBIs in Charlotte, but more important, he got a chance to steal some bases.

"It's starting to pay dividends playing every day and getting on base," Lillibridge said. "I finally got to steal bases. That's the biggest thing. I said, 'I have to get on base and steal bases,' and it's been the opportunity to do that. So I'm just excited to hopefully just continue that. The success helps me, coming off the bench, just knowing that I've put in the work already the first two months and it really showed what I can do."