“That was cool,” said Konerko, who was cheered after the crowd learned he’d been added to the AL All-Star team.

But the individual honor wasn’t nearly as impressive to Konerko as what his team has been able to do over the last month.Gavin Floyd’s strong pitching and two homers by Carlos Quentin led the White Sox past the Kansas City Royals 5-1 Saturday night — for the seventh straight win and 24th victory in the last 29 games.In early June, it looked like the White Sox’s season would pretty much be over because they were playing so poorly and had fallen nine games under .500.Now, they’re a half-game out of first and 10 games over.Gordon Beckham, who has struggled most of the season, also homered for the White Sox.Floyd (5-7), who left after Jason Kendall’s third single of the game with two outs in the eighth, gave up six hits and a run. David DeJesus ruined the shutout bid with an RBI double off reliever Matt Thornton.Sox pitching has allowed just three runs in the last three games. And Floyd is now 3-1 in his last seven starts with a 1.07 ERA. Quentin hit his 16th homer leading off the second inning against Brian Bannister. Beckham lined his third of the season over the left field fence to start the bottom of the fifth and make it 2-0. Omar Vizquel singled one out later and raced home when Konerko hit an RBI double to left with the ball momentarily rolling under the fence but still in play.K.C. left fielder Scott Podsednik retrieved the ball and relayed it to third baseman Alberto Callaspo, whose high throw was too late to get Vizquel. The throwing error allowed Konerko to move up a base and came one inning after brief but steady rain showers.Quentin then followed with his second homer of the game and third of the night off Bannister to make it 5-0.Bannister (7-7) gave up seven hits and five runs in six innings and is now 1-3 with a 9.00 ERA against the White Sox this season. The three homers ran his total to 18 surrendered in 18 starts this season.

NOTES—RHP Daniel Hudson is slated to be called up from Triple-A Charlotte and make Sunday’s start in place of injured Jake Peavy. Hudson was 1-1 in six games, including two starts, last season for the White Sox. After Saturday night’s game, the White Sox cleared a roster spot by optioning reliever Jeff Marquez to Charlotte. … Konerko, who was one of five finalists in the fan online voting contest for the final spot that was won by Nick Swisher, was named to the AL squad after the Twins’ Justin Morenau was forced to drop out because of a concussion. “I really didn’t get too much emotionally involved,” Konerko said. “I’ve been down this road. I’ve made teams and didn’t make teams. You have to kinda look at it as a win-win and I did the whole time.” … Jose Guillen (strained left quad) was back in the Royals’ lineup Saturday after sitting out the last two games. He was the DH and limped into second base after hitting a fifth-inning double. He left for a pinch-hitter in the seventh.