CHICAGO -

When Conor Gillaspie lined a ninth-inning single to the left-field corner, he wasn't sure it would be enough to score teammate Dewayne Wise from second base.

Wise wasn't sure either.

But the White Sox pinch-hitter overcame initial hesitation and beat a throw from Marlins left fielder Juan Pierre for a game-winning run in Chicago's 2-1 interleague victory over the Miami Marlins on Saturday night.

"I was really surprised," said Gillaspie, who went 3-for-4. "I kind of stopped running at first. I saw the throw and thought it was going to be cut, (but Wise) got around there good."

With the game tied 1-1, Wise had reached on a leadoff double to left field off Marlins reliever Ryan Webb (1-3).

"I knew I had a chance with Pierre, who doesn't throw that well," Wise said. "I kind of froze when the ball was hit and in the back of my mind I thought I was going to be held, but (third base coach Joe McEwing) was waving his arms, so I had to go."

Right-handed starter Jake Peavy improved to 6-2 as he scattered six hits, struck out five and walked two in his first nine-inning appearance of the season and fourth win in his last five starts.

The White Sox broke a scoreless tie in the third as Alejandro De Aza led off with a single to center and scored on Alexi Ramirez's double into the left-field corner.

Peavy nursed the 1-0 lead through 8 1/3 innings before giving up a one-out home run to right to the Marlins' Derek Dietrich to tie the game.

"I didn't do a very good job out there," Peavy said. "I didn't execute the pitch -- and it was the right pitch -- but I wasn't even close to executing it the way it needed to be. But for us to come back and win was special."

Marlins manager Mike Redmond felt Dietrich's homer might be a harbinger of a potential game-winning rally.

"I was thinking momentum was switching to our side and we could come back on four pitches and win the ballgame," he said.

The victory was the fourth in five games for Chicago while Miami has lost four straight and 11 of its last 13.

Marlins right-hander starter Ricky Nolasco pitched nearly as well as Peavy, giving up one earned run on eight hits while striking out six and walking none through 7 2/3 innings.

Nolasco has received just 19 runs of support this season.

"Everybody's frustrated," he said, "The only thing I can concentrate on is going out every fifth day and try and get guys out. That's tough enough."

Still, the Marlins can't solely depend on pitching to win games.

"At the end of the day, we're not scoring any runs," Redmond said. "We're having to be perfect, pitch perfect every single night, and it's tough to win ballgames when you're scoring one run."

NOTES: 3B Placido Polanco is among baseball's all-time leaders in interleague production. Entering Saturday he had 225 hits, 11th among active players. Derek Jeter leads with 345 interleague hits. ... Chicago INF Gordon Beckham has shut down his rehab assignment at Triple-A Charlotte due to discomfort in his left wrist. He's expected to resume on June 5. ... Chicago LF Dayan Viciedo is batting .359 (23-for-64) with two homers and 10 RBI in 19 games since returning from the disabled list on May 10. ... After Sunday's series finale, the White Sox conclude their eight-game home stand with interleague games against the crosstown Cubs on Monday and Tuesday. The series moves to Wrigley Field for games next Wednesday and Thursday. ... Chicago is 166-124 (.572) against the National League, the third-best winning percentage in the majors.

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