[2] He was named a first-team All-Big Sky Conference selection and second-team All-America choice by The Sports Network following his senior year.

[5] On August 31, 2014, the New Orleans Saints waived Davis as part of their final roster cuts, but signed him to the practice squad the following day.

The NFL investigated if the New Orleans Saints stashed Davis in their practice facility in order to thwart a claim on the waiver wire by the Denver Broncos.

On January 11, 2015, Davis appeared in his first career playoff game and recorded six combined tackles as the Broncos lost 24–13 to the Indianapolis Colts in the AFC Divisional Round.

[13] Throughout training camp, Davis competed for a role as a starting inside linebacker against Danny Trevathan and Brandon Marshall.

[14] Head coach Gary Kubiak named Davis a backup inside linebacker to begin the regular season, behind Brandon Marshall and Danny Trevathan.

[16] Davis competed against Corey Nelson during training camp to be a starting inside linebacker after the role was left vacant by the departure of Danny Trevathan.

[17] Head coach Gary Kubiak named Davis and Brandon Marshall the starting inside linebackers to begin the regular season.

[18] He started in the Denver Broncos' season-opener against the Carolina Panthers and recorded seven combined tackles and was credited with half a sack to mark the first of his career during a 21–20 victory.

Davis made his first career sack on Panthers' quarterback Cam Newton for a five-yard loss during the fourth quarter alongside DeMarcus Ware.

[23] Joe Woods replaced Wade Phillips as defensive coordinator, but retained Davis and Brandon Marshall as the starting inside linebackers.

Davis intercepted a pass by Cardinals' rookie quarterback Josh Rosen, that was originally intended for tight end Ricky Seals-Jones, and returned it for a 20-yard touchdown during the first quarter.

[28] In Week 9, he tied his season-high of ten combined tackles (nine solo) and made one pass deflection as the Broncos lost 19–17 against the Houston Texans.

[29] He started all 16 games in 2018 and recorded a career-high 114 combined tackles (80 solo), seven pass deflections, one interception, one touchdown, and was credited with half a sack.