"I will talk to [Biggio] about it [Tuesday] to apologize and say sorry about the incident," Guillen said. "But it's something it's tough to control. It happened so quick. And I know that the security in Chicago is doing a great job, and when something happens so quick, you can't blame anybody."
The incident happened Sunday night in the stands at U.S. Cellular Field, where the White Sox beat Houston in Game 2 of the World Series.
Biggio said his wife, Patty, wasn't hurt. He said the fan slapped his wife then tried to run away -- before the player's brother-in-law ended up "putting him against the wall."
Astros manager Phil Garner said that the fan had been bothering her for a while -- pulling Patty Biggio's hair and jostling her.
Chicago police say no criminal complaint has been filed.
Biggio played down the altercation.
"It was one guy who acted like a 12-year-old, who slapped her upside the head," said Biggio. "I'm not going to sit here and hold all the Chicago fans accountable for this for one guy who was acting like an idiot."
Said Guillen: "And the guy that did it, he should be brought to Biggio, and he's the one that can hopefully get him back. I told the police, 'Don't put him in jail, bring him to me in the dugout.' But hopefully that won't happen again."
Scott Merkin is a reporter for MLB.com. The Associated Press contributed to this report. This story was not subject to the approval of Major League Baseball or its clubs.