A person with knowledge of the tryout tells The Associated Press that Burress had been invited to Foxborough, Mass., to work out for the AFC champions. The person spoke on condition of anonymity because the tryout has not been publicly announced.
Burress spent last season with the Jets after finishing a 20-month prison sentence on a gun charge. New York did not re-sign Burress, who turned 35 on Sunday.
He had 45 catches, eight for touchdowns, and 612 yards for the Jets last year.
A first-round draft pick by Pittsburgh in 2000, Burress also played with the Giants, catching the winning TD pass in the 2008 Super Bowl against the Patriots.