"I think it's trending up," Kelly said during an appearance on "The Rich Eisen Show." "It's something that we need to get obviously in line to get that going. I think that's something that everybody wants to get going and get Michigan back on the schedule.
"... I think that sentiment is coming back to the forefront of where college football needs to be. Some of those classic rivalries coming back together. I know we're going to be working hard to see if we can get that done."
The teams faced each other last season for the 42nd time in an off-and-on rivalry that has spanned more than 100 years. Notre Dame announced in 2012 that the series would be ending to accommodate its new scheduling arrangement with the ACC.
Michigan leads the all-time series 24-17-1.
The two programs are the winningest programs ever by percentage. They have combined for 1,798 victories.
Kelly said he hasn't been involved in the discussion to renew the series, "but using words like trending up, this is something that wants to occur, that's what I'm hearing," he told "The Rich Eisen Show." "I think you're going to see it happen."
Information from The Associated Press was used in this report.