Bibbs was signed by the Broncos as an undrafted free agent in 2014. He spent that season on the team's practice squad. In 2015, Bibbs was promoted to the active roster in October following an injury to Juwan Thompson and was active for just one game before being released and then re-signed to the practice squad.
In 2016, Bibbs appeared in 12 games, carrying the football 29 times for 129 yards. He also had two receptions for 75 yards and a touchdown. Bibbs suffered a high ankle sprain during Week 13 of the 2016 season and was placed on injured reserve.
Bibbs joins 49ers running backs Carlos Hyde, DuJuan Harris, Tim Hightower, Mike Davis and Raheem Mostert.
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