And with Texas hanging a third loss in four games upon Ozzie Guillen's crew to start the second half, via a 6-1 drubbing before the eighth sellout of the year at U.S. Cellular Field, the White Sox manager's patience is beginning to wear a little thin.
"My time, my clock, it goes by minutes now," said Guillen, after watching his squad battle but come up short against Scott Feldman and three relievers. "I don't want to be negative about the ballclub because we're playing well, and we're still in first place, even if we're not playing good. But it's time for people to start stepping up and play better.
"It seems like a couple players aren't comfortable. I'm not going to make it comfortable for anybody. If you don't do the job, we'll see what we can do with you. I thought we had a great chance to win."
Feldman (4-3) made his 15th start of the season for the Rangers (52-48), but he was serving as a game-day replacement for scheduled starter Eric Hurley. The right-hander limited the White Sox (55-43) to four hits over six innings, including Carlos Quentin's American League-best 24th home run coming on the first pitch of the fourth inning.
There were other chances for the South Siders to score, with Jim Thome's double, a wild pitch and a walk to Nick Swisher putting runners on first and third with one out in the second. But Joe Crede hit into an inning-ending double play, started by shortstop Michael Young, one of three double plays turned by the Rangers.
"Five hits and one run won't win a lot of games, so we have to find a way as an offense to get it going again," said White Sox catcher A.J. Pierzynski, who had two of the team's hits. "It has been a frustrating couple of days, and hopefully tomorrow we can get it turned around."
"We kept the game 3-1 until the end," Guillen added. "There were a couple balls there we hit real good with no result. I thought we swung the bat well today."
As the tying run at the plate in the sixth, Paul Konerko flied out deep to Josh Hamilton in center field to end the inning. Alexei Ramirez drove one to the wall leading off the eighth, but that shot also was hauled in by Hamilton.
That same fate didn't fall upon Hamilton's titanic blast in the third. With two outs and Jarrod Saltalamacchia on first base, Vazquez (7-8) issued a walk to Young. He fell behind at 2-0 on Hamilton, who pulverized the next pitch for his 22nd home run and a 3-0 lead for Texas.
In just his team's 100th game, Hamilton has 98 RBIs.
"I mean, he's just a good hitter," Vazquez said. "I threw the pitch I wanted, just the wrong location. That's what happens against a good hitter."
"You just gotta make pitches on him," added Pierzynski of Major League Baseball's leader in RBIs. "We got him out when we made pitches on him. We made one mistake, and he hit a home run."
Vazquez lost a third straight decision and has not won since June 17 against Pittsburgh. He did turn in his second quality start over the last three trips to the mound, getting his game turned around following a miserable June.
Against Texas, Vazquez fanned 10 for his 36th career double-digit strikeout effort, allowing four hits and two walks. He literally made one truly bad pitch out of the 113 for the night.
"My stuff was there, definitely," Vazquez said. "The first thing is that I've got to get myself right. I think the past three games, the last one [before Monday] wasn't that good, but I felt better with my mechanics and all that. Hopefully, I'll start rolling from now on."
"Javy threw the ball unbelievably good," Guillen added. "If Vazquez continues to throw the ball good, it will be a great second half for us."
This same compliment could not be extended to Boone Logan, who gave up three runs on four hits in one-plus inning. Logan has yielded eight earned runs in his last 2 2/3 innings.
As Guillen mentioned during his postgame interview, Logan's leash becomes shorter and shorter if he continues to struggle. The White Sox still lead Minnesota by one-half game and Detroit by 5 1/2, but Guillen doesn't want to see this season slip away from his team before the second half turns one week old.
"A lot of people ask if we're going to make a trade, but I think I believe in what I have," Guillen said. "They've got to show myself and Kenny we can count on them to win this season.
"I'm not saying making trades or not. I'm just making clear, just in case you guys make a big deal about this, the people out there have to step it up and do it because they have more talent than what they show and I don't see it."
Scott Merkin is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.