The Broncos on Thursday agreed to a one-year contract with offensive tackle and former Colorado player Tyler Polumbus.

Safety Josh Bush was waived in corresponding move to make room for Polumbus.

Polumbus, 30, who was released by the Atlanta Falcons on Tuesday, offers the Broncos security up front after a shoulder injury to starting left tackle Ty Sambrailo.

The rookie was injured during Sunday’s victory at Detroit and was held out of practice Wednesday.

Polumbus, a 6-foot-8, 308-pound lineman, was not drafted in 2008 and was signed by the Broncos, then led by coach Mike Shanahan. He has played in 101 NFL games and made 57 starts.

After two years in Denver, Polumbus went to Seattle then to Atlanta, where he played for Shanahan’s son, Kyle, the offensive coordinator there.

Polumbus, who is also a graduate of Cherry Creek High School and the University of Colorado, was a full participant in practice Thursday.

Bush was a New York Jets 2012 sixth-round draft pick. He was signed to the Broncos practice squad in November 2014 after being released by New York.

The 5-11, 205-pound safety was active during the Broncos’ first three games.

Injury updates

• Sambrailo (shoulder) was not at practice Thursday for the second straight day. Coach Gary Kubiak called him “day-to-day” Wednesday.

Sambrailo sustained the shoulder injury during the fourth quarter of the Broncos 24-12 win over Detroit Sunday night. He didn’t miss any game time but was seen grasping at his arm on the field and on the sidelines.

• Left guard Evan Mathis (hamstring) did not practice Thursday. He was listed as limited on the injury report Wednesday.

Kubiak said Mathis’ hamstring was still bothering him so they decided to rest him Thursday.

• Fullback James Casey (knee) also did not practice Thursday.

Kubiak said Casey came out to practice Thursday, but his knee flared up so he sat him out.

• Linebacker Todd Davis sat out Thursday’s practice with an ankle injury.

• Defensive end Vance Walker (elbow) was limited.

• Quarterback Peyton Manning and right guard Louis Vasquez returned to practice Thursday after taking a veteran’s rest day Wednesday.

Nicki Jhabvala: njhabvala@denverpost.com or @NickiJhabvala and Cameron Wolfe: cwolfe@denverpost.com or @CameronWolfe