CHICAGO -- Categorically stating that White Sox general manager Ken Williams fell short in adding a left-handed run producer to the team's lineup would not be an accurate assessment.

According to Williams, the White Sox had a Friday deal in place to acquire first baseman Lance Berkman from the Astros. The only problem was Berkman used his no-trade veto power to nix Chicago's overtures.

"I guess the most frustrating part is that we actually did get something done and unfortunately the player had other ideas and wanted to be somewhere else," explained Williams on Saturday. "But we did come to an agreement on a deal, and we were just at the mercy of contracts sometimes."

Berkman would have been a good fit as primarily a designated hitter for the White Sox. His outgoing personality also would have meshed in a very loose and laid-back White Sox clubhouse.

Williams got an up-close look at the class act that is Berkman, who sent Williams a text Friday through a White Sox player. Berkman gave his reasons to Williams for turning down the White Sox but waiving his no-trade clause to join the Yankees.

"Yeah, because he sent me a message saying it wasn't personal," said Williams of Berkman, who spoke about his decision in St. Petersburg, Fla., on Saturday, after joining the Yankees, just moments before Williams' media chat. "He already had conversations with Andy Pettitte. They are best friends and that's what was in his mind and his family's mind.

"He had no qualms about our situation here. If circumstances were different, he would have accepted it."

Jackson focused on working within the zone

CHICAGO -- White Sox manager Ozzie Guillen doesn't pretend to know much about the art of pitching.

But in talking about the past wild streak for Edwin Jackson, who already has walked 60 over 134 1/3 innings this season, Guillen made his request crystal clear as to what he expects from the starting rotation's newest addition.

"One thing about pitching, you better throw strikes for me. That's the only thing that drives me crazy," Guillen said. "Ask [Friday's winning pitcher] Lucas [Harrell] what I told him yesterday.

"Good luck, have fun and throw strikes. I don't care if they score 30 runs. That's part of the game. If you don't throw strikes, it drives me crazy."

Jackson is scheduled to make his White Sox debut Wednesday night in Detroit. White Sox pitching coach Don Cooper studied video of Jackson before his arrival and believes there's a mechanical flaw in the right-hander's delivery, which if corrected, can help Jackson fulfill Guillen's request for throwing strikes.

"It's a simple problem," Jackson said. "Most of the time you see somebody in a funk, most of the time there is a simple solution. It's just a matter of finding out what it is. We have a chance to work [Sunday] in a bullpen session and get everything straightened out."

Teahen begins Minor League rehab

CHICAGO -- Mark Teahen started his Minor League injury rehabilitation assignment with Triple-A Charlotte on Saturday night, serving as the designated hitter with the Knights taking on Rochester. Teahen started off strong with two singles off Rochester southpaw and one-time Twins rotation staple Glen Perkins and finished with three hits and two RBIs.

Teahen expects the assignment to last for at least part of the White Sox upcoming eight-game road trip to Detroit and Baltimore.

The 28-year-old infielder, who began the year as the team's starting third baseman, was placed on the 15-day disabled list on June 1 (retroactive to May 31) with a fractured right middle finger. Teahen suffered the injury while trying to field an Evan Longoria grounder during a Sunday contest at Tropicana Field. He is hitting .255 overall with three home runs and 14 RBIs, but had a .368 average in the 12 games prior to his injury.

With Omar Vizquel hitting .417 in his last 14 games and Dayan Viciedo carrying a .333 average following two hits in Saturday's 6-2 loss to Oakland as the primary replacements in Teahen's absence, White Sox manager Ozzie Guillen has talked about using Teahen in more of a super utility role as opposed to returning him to third.

Third to first

The White Sox announced next week's pitching probables for the big four-game series in Detroit. Mark Buehrle will go in Game 1 of Tuesday's doubleheader at Comerica Park, with Edwin Jackson making his White Sox debut Wednesday and Freddy Garcia concluding the series Thursday afternoon. Garcia will have six days between starts, while Carlos Torres seems to be the most logical choice to be called up from Triple-A Charlotte for Tuesday night's second game of the doubleheader. The White Sox will miss Detroit ace Justin Verlander, who starts Sunday's game in Boston. ... The White Sox have a 2-5 record in their last seven games against the A's at home. ... Scott Linebrink has allowed one run in 8 2/3 innings over his last nine games. ... The White Sox have hit 49 home runs in their last 27 home games. ... The White Sox slipped to 34-12 since June 9, still the best record in the game during that time.