According to Dave van Dyck of The Chicago Tribune, White Sox GM Kenny Williams squelched rumors of his team's interest in Roy Oswalt today, saying, "I haven't talked to the Houston Astros about any pitching whatsoever."
Speculation about a deal for Oswalt heated up when The Tribune's Mark Gonzales noted on Friday that White Sox special assistant Bill Scherrer was following the Astros. According to van Dyck, Williams said today that "he didn't even know Scherrer was there."
Yesterday, we heard that Oswalt would invoke his no trade clause if Chicago tried to acquire him. So unless both sides are playing things very close to the vest, it seems that we can put this rumor to rest.