Corrections officials Thursday told The Washington Post Bremer is scheduled to be released in December from the Maryland Correctional Institute in Hagerstown.
Wallace was campaigning for the Democratic presidential nomination when Bremer shot him in Laurel, Md. Three people traveling with Wallace were wounded, and Wallace was paralyzed in both legs.
Wallace died at 79 in 1998.
An investigation found that Bremer had been stalking Wallace for weeks.
Bremer, who was 21 at the time of the attempted assassination, pleaded insanity. A Prince George's County, Md., jury convicted him and sentenced him to 53 years in prison.
When he is released in December, Bremer will have served 35 years of his sentence.
Corrections official Leonard Vaughan told the newspaper Bremer is being released under a state program that reduces prison time for inmates who maintain good behavior and have a prison job. Vaughn said Bremer could be released before December, because he earns more days off his sentence each month.
Bremer will be required to maintain contact with a parole officer until the end of his sentence, May 15, 2025, the Post said.