OAKLAND, Calif. -- Chicago White Sox shortstop Jimmy Rollins said he was looking for a pitch "to drive" when he came to the plate Tuesday night with two outs in the top of the ninth in a 4-4 game against the Oakland A's.

Rollins got one from A's left-hander Sean Doolittle, and he drove a 2-2 fastball over the left-center field wall at the Oakland Coliseum for his first home run with the White Sox.

The White Sox held on for a 5-4 victory in the city where Rollins was born, just a few miles from where he starred at Encinal High School in Alameda.

"I felt pretty good earlier during batting practice, and I was able to execute the move I was working for, and I got a good pitch to hit," said the 37-year-old Rollins, who signed a minor league contract with the White Sox on Feb. 22 and was their Opening Day shortstop. "I hit it pretty good.

"I've had a couple big games here in high school. Found a way to win those also."

Third baseman Todd Frazier hit a three-run homer, his first blast for Chicago, and Adam Eaton had three hits in five at-bats.

Right-hander David Robertson pitched a perfect ninth inning for his second save as the White Sox won their sixth straight game at the Coliseum.

Frazier, who came to the White Sox from Cincinnati as part of a three-team trade in December, went 2-for-5. His three-run shot in the fifth inning off A's left-hander Chris Bassitt gave Chicago a 3-1 lead.

"The whole game, everybody is in to it, from the guys on the bench to the guys in the game," Frazier said. "We've got something special, man. We're coming together as a nucleus. You see Jimmy ground into a double play, next thing you know, he doesn't think about nothing, goes up and hits a home run. He's been doing it for a long time, and it's real fun to see a guy of his caliber still dominating the game."

Doolittle made quick work of Jackson and Eaton before Rollins came to the plate.

"I felt like I had swing-and-miss stuff," Doolittle said. "That's the one mistake I made, and he made me pay for it. It's tough to come back in here, a one-run loss again, at home. I'm disgusted with myself."

The White Sox led 3-2 through five innings and added a run in the sixth off Bassitt when former Athletic Brett Lawrie singled, moved to third on catcher Alex Avila's single and scored on Austin Jackson's infield single.

The A's rallied to score twice in the eighth and pulled even on Yonder Alonso's bases-loaded single off Nate Jones with two outs.

White Sox left-hander Jose Quintana gave up two runs over 5 2/3 innings and had his 53rd career no-decision, the most in the majors since 2012. He struck out seven, walked none and allowed seven hits, five singles and two doubles.

"He looked great," White Sox manager Robin Ventura said of Quintana. "The guy always pitches good and something unlucky happens."

Bassitt, facing his former White Sox team for the first time, allowed four runs on eight hits over 5 1/3 innings. He struck out four and walked two.

Bassitt was one of four players who came to the A's from the White Sox in a trade for right-hander Jeff Samardzija on Dec. 9, 2014. Catcher Josh Phegley and shortstop Marcus Semien, who started for the A's on Tuesday, were also part of the deal. Phegley went 2-for-2 with a double and scored twice, while Semien had two hits in three at-bats.

Khris Davis, who was traded to the A's by Milwaukee in February, doubled in the sixth inning, ending an 0-for-6 skid with five strikeouts to start the season.

The A's took a 1-0 lead in the third inning when Phegley grounded an opposite-field single to right field and scored on Lowrie's two-out single.

Bassitt pitched his way out of a bases-loaded jam in the fourth but couldn't escape more trouble in the fifth. With two on and two outs, Frazier crushed Bassitt's 0-2 curveball into the left-field seats.

"He's one of the best bad-ball hitters in the game," Bassitt said of Frazier. "I've made a lot worse pitches than I did there, and he made me pay for it."

NOTES: A's RHP Sonny Gray will start Wednesday against the White Sox after being scratched Monday with food poisoning or the flu. "Looking back, a lot of guys have been getting sick in the last week or so," Gray said. "Another guy's sick today, same thing. Vomiting and everything." ... A's RHP Kendall Graveman contracted the flu Monday but is expected to start Thursday against Chicago, Oakland manager Bob Melvin said. ... Former Detroit Tigers C Alex Avila started and made his White Sox debut.