"I hope we get to the point where these games matter 11 times a year instead of just four," Hahn said. "It's nice for the fans. It's always a little heightened level of intensity over your normal regular-season game.
"But the two we played last week with Detroit, the three we've got coming up with Kansas City, they are more relevant to our year than these four games are against the Cubs," Hahn added.
Hahn was reminded that 11 games between the two would mean the World Series went to seven games. He quickly amended his choice to eight games, with the White Sox sweeping.
"It would be a wonderful thing for the city," Hahn said. "I don't know if my stomach could handle it, but it would be a wonderful thing for this city and baseball in this town if these games could matter 11 times a year instead of just four."
Scott Merkin is a reporter for MLB.com. Read his blog, Merk's Works, and follow him on Twitter @scottmerkin. This story was not subject to the approval of Major League Baseball or its clubs.