Broncos general manager John Elway denied the report.
"False," Elway told reporters. "(Talib's) name was never brought up anywhere."
Talib, entering his ninth NFL season, had three interceptions -- two of which were returned for touchdowns -- and 45 tackles during the Broncos' championship season in 2015.
Talib suffered a gunshot wound to his lower right leg?in the early morning hours of June 5 in Dallas. He avoided surgery and was released from the hospital the following day, and the incident forced him to miss the Broncos visit to the White House to commemorate their Super Bowl 50 win.
According to the police report, Talib said he didn't know who shot him and that the bullet "entered into the rear of his right thigh then exited his right calf."
Talib returned to practice with the Broncos Aug. 8 and was asked if he shot himself.
"The situation is still under review and we have to respect that process,'' Talib said then. "I'm not going to talk about that right now, but I feel great."
On Aug. 17, the Dallas police department confirmed they were investigating the possibility Talib shot himself.
The NFL is investigating the matter.