Ozzie Guillen still believes that the White Sox have a shot to make the postseason. Chicago picked up Jake Peavy and Alex Rios recently, adding nearly $100 million to their future payroll, but have floundered lately. The Sox have lost five straight. "When you go to sleep and think about how good or how bad you are, you're not lying. I'm not lying to myself. Do we have a shot? Of course," Guillen told the Associated Press on Tuesday. "If we keep playing like that, are we going to have a shot? No chance." Guillen's players share his belief. "We're not mathematically out, so you've got to believe that we can do it," Jermaine Dye said. "If not, so be it."