White Sox spokesman Scott Reifert would not disclose the value of the three-year deal with the Dallas company Wednesday but said the revenue probably will be reinvested in the baseball team or ballpark.
The new start time hardly represents a significant change since many weeknight games at U.S. Cellular Field already start at 7:07 p.m.
"We're just talking about four minutes, so it's not much of an inconvenience for the fans," Reifert said.
Margaret Chabris, a spokeswoman 7-Eleven, said the company has been trying to develop sponsorships with other teams and entertainment venues. The Chicago area was targeted because of its more than 180 7-Eleven stores.
"Every time the media announces the game's start time it will be a gentle reminder of our sponsorship," Chabris said.