The rescheduled hearing is expected to be held in two weeks, sources told the newspaper. The grand jury, which comprises 23 people, is to review all evidence in the case and vote on whether there is enough evidence to charge Kane.
Kane has been under investigation after a woman reportedly accused him of sexually assaulting her at his home in Hamburg, New York, last month.
The original court hearing was scheduled for earlier this week but was abruptly postponed the same day.
Kane's attorney, Paul Cambria, told the Tribune that he didn't know why the hearing was delayed and that he was not the one to ask for a postponement.
The Blackhawks open training camp next Friday.
Information from the Associated Press was used in this report.