Bowe was drafted by the Kansas City Chiefs out of LSU in 2007, and had spent his entire eight-year career with Kansas City before being released last week. He reportedly visited Cleveland over the weekend.
Bowe, 30, had 532 receptions for 7,155 yards and 44 touchdowns in 118 games for Kansas City. In 2010, he led the league with 15 touchdowns and was named to the Pro Bowl. Last season he did not catch a touchdown for the first time in his career. His career 60.6 yards-per-game average is second all time among Kansas City receivers.
Cleveland finished last season with a 7-9 record and in last place in the AFC North. The team was 27th in points scored and 23rd in yards gained.