The starting pitchers for the first game of the twin bill continue to line up as matched, with New York right-hander Mike Mussina facing Chicago left-hander John Danks at 2:05 p.m. ET.
In the nightcap, a scheduled 8:11 p.m. start, New York sends right-hander Chien-Ming Wang to the mound opposite Chicago right-hander Jose Contreras.
The rainout creates a scheduling problem for the Yankees, who now do not have a starter lined up on proper rest to face the Mets on Sunday at Shea Stadium.
Torre said that he was in contact with general manager Brian Cashman to address the situation before Tuesday's game was rained out, and plans to touch base again for a status report on Wednesday.
"I don't think we'll have anything [Wednesday]," Torre said. "I think that's what we're going to talk about."
Torre said that he was against bringing either Wang or Mussina back on short rest to pitch in the Subway Series, citing the fact that both served time on the disabled list with hamstring issues this season.
If the Yankees opt to call a starter up from Triple-A Scranton/Wilkes-Barre for Sunday, right-hander Tyler Clippard, right-hander Steven Jackson and left-hander Chase Wright could merit consideration.
When asked about the pitching situation, Mussina -- who was originally scheduled to pitch Sunday against the Mets -- snapped at a group of reporters.
"How can I tell you now? I haven't even pitched this game yet," Mussina said. "Let me worry about tomorrow's game before we talk about Sunday."
Torre said that his lineup plans for the doubleheader were also a good bet to be altered, as Jason Giambi and Johnny Damon are both only likely to play in one of the games each.
Bryan Hoch is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.