CHICAGO -- Avisail Garcia had hopes of making a big impact in his first full season in the major leagues, but so far it has been a lesson in humility.

Things might be turning around, however, after the muscle-bound right fielder strung together a couple of nice performances in Chicago's last two games.

The 24-year-old Garcia led the White Sox to a 6-5 win in 10 innings over the Tampa Bay Rays on Wednesday at U.S. Cellular Field by going 1-for-3 with a home run, two walks and four RBIs a day after snapping a long homer drought that stretched to early June.

"I'm working really hard with (hitting instructor Todd Steverson) and (manager Robin Ventura) a little, too," said Garcia, who drew a bases-loaded walk off Rays closer Brad Boxberger in the 10th inning to end the game. "(I'm) just trying to be focused and trying to swing at good pitches and trying to learn how they are going to throw to me and to swing at good pitches."

The victory prevented Tampa Bay from sweeping the three-game series and the six-game season series, which both would have been historical feats for the Rays (54-55).

They nearly completed the sweep, too, after coming back from a 5-0 deficit to tie the score with two runs in the third, two in the fifth and one in the eighth.

It wound up taking an odd play, some heads-up base running and a great at-bat by Garcia in the 10th for Chicago to beat Tampa Bay for the first time in six games this season.

Chicago center fielder Adam Eaton singled to start the 10th, stole second and moved to third with no outs when the ball thrown by Tampa Bay catcher Curt Casali to second base hit shortstop Asdrubal Cabrera in the head.

After a shallow flyout failed to score Eaton, Boxberger intentionally walked first baseman Jose Abreu before Rays manager Kevin Cash directed him to also walk left fielder Melky Cabrera -- loading the bases for Garcia.

Boxberger went to 3-1 on Garcia before walking him and then walking off the mound in disgust. He wasn't thrilled with Cash's decision to walk both Abreu and Cabrera.

"With a base open, I could've pitched around (Cabrera) and made a good pitch and had some weak contact," Boxberger said. "But without a base open, it's kind of hard to pitch around someone."

Asked if he could have argued against the decision, Boxberger said that wasn’t an option.

"It's not my call," he said. "I can't. I'm not the boss. I can't say anything at that point. I'm not going to overstep my boundaries. It's the manager's decision and it's what he wanted to do."

Cash accepted responsibility for the call and explained the logic behind it, which boiled down to the Rays having more double-play options with the bases loaded than with runners at first and third.

"It was pretty automatic," Cash said. "This is nothing against Box. This is on me. We have so much confidence in him making the pitches. Potentially, if you have a double-play ball, you have two options to decide from with the bases loaded, so that was kind of the factor ... and we liked the matchups better."

Before Garcia's final at-bat, the game was stopped and Cabrera left the field. He was replaced at shortstop by Tim Beckham and taken to the clubhouse to be examined. After the game, the Rays said he had a bruise and not a concussion.

Cabrera went 4-for-5 with two RBIs and third baseman Evan Longoria was 3-for-5 with a home run to lead Tampa Bay, which had a three-game winning streak end.

Chicago gave starter Carlos Rodon a big early lead, highlighted by Garcia's homer in the first, but the rookie left-hander battled a command problem that has plagued him all season. Rodon left after 4 2/3 innings and gave up four runs, six hits and two walks.

Tampa Bay tied it 5-5 in the eighth thanks to right fielder Brandon Guyer and Casali, who hit a two-out, pinch-single off left-handed reliever Zach Duke and scored from first on Guyer's double.

It looked like that might lead to a series sweep, but the White Sox made sure it didn't work out that way.

"We needed the win," said right-hander David Robertson, who picked up the victory with two shutout innings of relief. "We started out really hot today and just let this one slip into a really tough game. We battled back and managed to get a win. We scratched and clawed until we got one."

NOTES: The White Sox placed RHP Daniel Webb on the 15-day disabled list with a right mid-back strain on Wednesday and reinstated RHP Nate Jones from the 60-day disabled list. Jones had Tommy John surgery and back surgery last season. Webb started feeling discomfort Tuesday night after he allowed three runs and back-to-back homers in a relief appearance. ... The Rays came into the game 5-0 against the White Sox this season, with a chance to sweep a season series against an American League team for the first time in franchise history. ... According to the Rays' game notes, the White Sox haven't been swept in a season series by an AL team in their 115-year history.