The Chicago Tribune reported Friday it obtained federal tax documents that indicate Weis will be given smaller payments through December 2015.
The newspaper said it got the information from Form 990, which the school must submit to the Internal Revenue Service.
"Termination payment of $6,638,403 was made during the reporting period to Charles J. Weis under a separation agreement that includes much smaller annual payments through December, 2015," a section for "supplemental information" in the forms said.
Weis was fired in November 2009, amassing a 35-27 record in five seasons as coach. He earned Bowl Championship Series bids in his first two seasons at Notre Dame, but his record fell to 16-21 over the final three years.
Between his standard compensation as coach until his firing and the "termination payment," Weis is listed as earning nearly $7.3 million from July 2009 through June 2010.