The White Sox took another major step forward in their offensive revival Monday night.

In surging to a large lead before holding on for a 6-4 victory over the Red Sox, the offense discovered the art of the two-out clutch hit.

The White Sox, who entered the game with a .208 batting average with runners in scoring position, scored all six runs with two outs.

And Adam Dunn, whose resurgence at the plate has paralleled the long-awaited emergence of the Sox's offense, led the way with a three-run homer in the first inning off formidable left-hander Jon Lester (6-1).

"It was hard to sit here and keep saying over and over and over how good I felt with no results," said Dunn, who is batting .360 (9-for-25) with five home runs and 13 RBIs in his last seven games. "Hopefully these results keep coming, and people start believing me that I wasn't lying to them."

Dunn downplayed any satisfaction that he hit his home run off a left-hander, but Dunn has only three hits in 32 at-bats off left-handers. Of Dunn's 11 home runs this season, two have been hit off left-handers.

The other victim was eight-game winner Matt Moore of the Rays on April 27.

But manager Robin Ventura was just as pleased that the Sox manufactured two runs in the second after two outs and nobody on base as Tyler Greene, Alejandro De Aza and Alexei Ramirez hit consecutive doubles that allowed Dylan Axelrod (2-3) to pitch aggressively through six innings.

The left-handed-hitting De Aza is 13-for-41 with five doubles against left-handers this season and Ramirez is 7-for-15 against lefties in his last five games.

Despite a 6-2 lead, Ventura pulled Axelrod after only 83 pitches. The Sox are undecided on whether Axelrod or left-hander Hector Santiago will be pulled from the rotation when John Danks returns from a minor league rehabilitation start.