Jenks did not make himself available to the media afterward because he did not want to discuss the streak, a team spokesman said. He's three batters away from tying the record Jim Barr set for San Francisco in 1972.
Josh Fields hit two homers, Jermaine Dye went deep and Juan Uribe doubled in the go-ahead run in the seventh for the White Sox, who have won seven of nine against four teams in playoff contention: the New York Yankees, the Detroit Tigers, the Cleveland Indians and the Mariners.
Vazquez (10-6) allowed three runs and nine hits in seven innings, struck out three and allowed one intentional walk. He improved to 7-1 in his last 10 starts and has won at least 10 games in eight straight seasons.
Kenji Johjima and Raul Ibanez hit solo shots for the Mariners, who trail the Los Angeles Angels by 3 1/2 games in the AL West and are tied with the Yankees atop the wild-card standings.
In other AL games, it was New York 6, Cleveland 1; Baltimore 6, Boston 5; Oakland 16, Detroit 10; Los Angels 10, Minnesota 1; Toronto 2, Kansas City 1; and Texas 7, Tampa Bay 4.
The Mariners had won nine of 12 and pounded out 49 hits while outscoring Baltimore 31-15 in a three-game sweep, but didn't give much run support to Jarrod Washburn (8-9) in Chicago.
The left-hander allowed seven hits and five runs in 6 2-3 innings to lose his second straight and third in six starts. He struck out six, walked two and has not won since pitching eight shutout innings at Kansas City on July 4.
"The whole game I felt like I threw better than I have in quite a while," Washburn said. "I've been struggling a little bit, not throwing the ball that great. For the most part, I thought I threw the ball real well today."
Manager John McLaren said, "He had some crisp pitches, and he pitched well enough to win. He deserved a better fate than that."
Tied at 3, the Mariners failed to capitalize after loading the bases with one out in the seventh and paid for it in the bottom half.
Dye led off with a single and came around on Uribe's double off the wall in left, making it 4-3. Uribe advanced to third on the throw home and scored with two out on Darin Erstad's triple to shallow center, the ball rolling by a diving Ichiro Suzuki.
Dye homered in the second, and Fields went deep in the third and sixth - his first multihomer game.
Yankees 6, Indians 1
At Cleveland, Alex Rodriguez hit career home run No. 501 and rookie Phil Hughes (2-1) dominated the Indians by allowing only one run and four hits in six innings.
Rodriguez, who became the youngest player to reach the 500-homer plateau last week, connected for his 37th homer in the second inning off Fausto Carmona (13-7) on a night where all the Indians wore uniform No. 14 in tribute to late Hall of Famer Larry Doby, the first black player in the AL.
