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Talib was treated at a Dallas area hospital after being shot in the early hours of Sunday and is set to miss the Super Bowl champions Monday's team trip to Washington DC to meet President Barack Obama at the White House.
"We are in communication with Aqib Talib, who remains at a Dallas hospital for observation as he recovers from a gunshot wound suffered to his lower right leg on Sunday," the Broncos said in a statement.
"He is expected to be released from the hospital soon, and we are glad he is okay and will make a full recovery."
According to multiple reports in local media, Talib was one of several victims of a shooting at a Dallas night club.
A three-time Pro Bowler, the 30-year-old Talib is in the middle of a six-year, $US57 million ($A77 million) contract with the Broncos that he signed back in 2014.
In 2012, Talib was suspended four games for violating the league's policy on performance enhancing substances.
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