PHOENIX -- Matt Davidson's two-run double highlighted a four-run fourth inning, and Josh Richmond homered in a four-run seventh as the White Sox thumped the Brewers, 9-0, at Maryvale Baseball Park on Monday.

Alexei Ramirez led the way with four hits, and Davidson finished 2-for-4 with two RBIs and two runs scored. He was one of four Chicago players with two RBIs.

A rare command lapse cost Brewers starter Kyle Lohse, who had not walked or hit a batter in his first eight Cactus League innings, before running into trouble in the fourth. He began the inning with a walk, a hit batsman and another walk before Davidson, Chicago's third baseman, pulled a 3-and-0 pitch over third base for a two-run double.

Hector Gimenez added a sacrifice fly in the inning and Ramirez an RBI single, knocking Lohse from the game. He was charged with five earned runs on seven hits in 3 2/3 innings, with two strikeouts and two walks.

Lohse hinted afterward that he was having trouble with the Maryvale mound.

"I don't want to complain," Lohse said. "I just got out of kilter for a minute and couldn't find everything that I needed. But I got in [the work] that I needed to."

Brewers closer Jim Henderson surrendered four more runs on four hits and a walk in the seventh. Ramirez and Adam Dunn delivered RBI doubles before Richmond came off the bench to hit a two-run home run.

White Sox starter Felipe Paulino walked three batters in five innings but allowed only two hits and no runs, with four strikeouts. He was in trouble after Brewers shortstop Jean Segura lined an opposite-field triple with one out in the third inning, but Paulino retired Ryan Braun on an infield pop-up and caught Aramis Ramirez looking to escape without allowing a run.

"I feel like every time I come in here, everything's coming together right now," said Paulino, who incorporated a cut fastball into his arsenal Monday for the first time in his career. "I improved today, just to throw five innings. That's what [pitching coach Don] Cooper and I are looking for -- to go deep in the game."

Up next: Third baseman Aramis Ramirez will continue to "ramp it up," manager Ron Roenicke said, when he starts a second straight game on Tuesday against the Rangers at Maryvale Baseball Park. Ramirez, who underwent surgery in early January to remove a polyp from his colon, also started Monday and is expected to play a third game in a row on Wednesday against Seattle. He's off to a hot start at the plate, but is still getting his feet under him at third base, Roenicke said. Right-hander Marco Estrada will start Tuesday in a game broadcast on MLB.TV by FS Wisconsin and on the Brewers Radio Network.