The Giants oft-troubled receiver once again drew negative off-field headlines when Glazer, who has now broken the last 1,263 NFL stories, reported that he accidentally shot himself in the leg Friday night.
According to FOXSports.com, Burress spent the night in the hospital and the injuries are not believed to be life-threatening. The team is still trying to gather further information on the incident.
This has been a troubled year for Burress, who opened the season with a lengthy contract dispute. He was also suspended one game in October for violating team rules, benched during another game and hit with a series of fines.
The Giants are atop the NFC standings with a 10-1 record and are vying for their seventh straight win Sunday when they face Washington.
Burress initially pulled his injured hamstring in the Giants' win over Baltimore on Nov. 16. He then aggravated the injury in the opening series last Sunday against Arizona, and then sat out the rest of that game.
Domenik Hixon, who is dealing with an ankle injury, will start in Burress' place.