CHICAGO (AP) -- If the Chicago White Sox continue to score runs at this pace, it won't matter who their pitchers are.

Frank Thomas hit his 29th homer and rookie Jon Garland got his first major league victory Monday night as the White Sox beat the Milwaukee Brewers 11-2 for their third straight win.

Thomas, selected as AL Player of the Week earlier Monday, hit a two-run homer in the sixth off reliever Steve Woodard to raise his AL-leading RBI total for July to 20.

"Frank continues to impress," White Sox manager Jerry Manuel said.

Carlos Lee hit a two-run homer, his 18th, off Curtis Leskanic in the seventh, and Jose Valentin drove in three runs for the White Sox. Chicago has outscored opponents 37-14 the last three games.

"The one thing the White Sox have is the ability to score runs," Milwaukee manager Davey Lopes said. "If they make a mistake, they can make up for it. Maybe (the fans) are expecting them to fold. They're for real."

Garland (1-1) gave up two runs on three hits and five walks in seven innings, striking out three in his second big league start. The 20-year-old was showered with beer by his teammates after the game to celebrate his first win.

"I didn't drink any," said Garland, not yet old enough to legally drink in Illinois.

Garland was roughed up in his first start at Kansas City on July 4 for seven runs over three innings. He said the extended time off between starts and the offensive support he received helped.

"My arm felt a lot better tonight," Garland said. "It's just confidence. When a team goes out and scores 10 or 11 runs for you, it makes you relax a little more."

Earlier in the day, Chicago placed Cal Eldred on the 15-day disabled list with ulnar neuritis, an inflammation, in his right elbow. Another rookie, Mark Buehrle, will take Eldred's place in the rotation Wednesday at Minnesota.

Jason Bere (6-7) pitching for the first time against his former team, allowed six runs on seven hits and six walks in 3 1/3 innings. The wildness continued a year-long trend for Milwaukee, which leads the majors with 465 walks.

"I was all over the place, and the balls I did throw for strikes were right down the middle," Bere said. "When you're wild like that and constantly in hitters' counts, they'll take advantage of it."

Magglio Ordonez singled leading off the second and scored two batters later on shortstop Jose Hernandez's throwing error. One out later, Bere walked three straight batters to force in the second run.

Lee doubled to open the fourth, stole third and scored on Herbert Perry's single, making it 3-0. Mark Johnson singled to put runners at the corners and Ray Durham singled to score Perry.

Valentin singled through the drawn-in infield to drive in Johnson and Durham and make it 6-0, finishing Bere.

Ron Belliard hit a sacrifice fly in the fifth to bring Milwaukee within 6-1.

Charlie Hayes hit his eighth homer, a solo shot to left in the sixth to make it 6-2.

Valentin hit an RBI double to score Durham in the bottom of the eighth.

Game notes
Bere was hit in the left calf by Paul Konerko's line drive in the second, but stayed in the game. He threw 38 pitches -- 21 balls -- in the second. Bere's six walks tied a season high. ... Garland worked only three innings in his major league debut July 4 at Kansas City, a 10-7 loss. ... Chicago committed an unusual inning-ending double play in the first. With Thomas on first and Valentin on second, Valentin attempted to steal third, but was caught in a rundown. When Valentin returned to second, Thomas was already standing on the bag. Third baseman Hayes tagged Valentin, who was called safe by second base umpire Bill Welke. Hayes then tagged Thomas, who was called out. Valentin, confused who was out, left second for the dugout and was tagged by Hayes for the final out of the inning. "Anybody can get caught," Valentin said. "I was tagging everybody," Hayes said.