Conklin will earn $20 million in the first year and will be 28 when this deal expires.
After a rocky 2018 season, Conklin started all 16 games for the Tennessee Titans in 2019 and returned to the form that resulted in his being named first-team All-Pro as a rookie in 2016. He posted a 92.3% individual pass-block win rate and was on the field for 94% of the Titans' offensive snaps last season after returning from an injury-riddled 2018.
Conklin was placed on injured reserve in December 2018 because of a knee injury. The previous offseason, he had surgery to repair a torn ACL suffered during a January 2018 divisional-round playoff loss to the New England Patriots.
Selected with the eighth overall pick in the 2016 draft, Conklin teamed with left tackle Taylor Lewan to become bookend tackles for one of the best offensive lines in the NFL. But in May 2019, the Titans opted not to pick up the fifth-year option on Conklin's deal for $12.8 million.
Tennessee announced Monday that it was re-signing offensive tackle Dennis Kelly to a multiyear contract. The deal is for three years and $21 million, with $8.75 million guaranteed, a source told ESPN's Field Yates. Kelly will get a chance to take over for Conklin in a starting role.
Also Monday, the Browns reached agreement with former Washington Redskins quarterback Case Keenum on a three-year, $18 million deal that includes $10 million guaranteed, a source told Schefter. Cleveland's starter is former Heisman Trophy winner Baker Mayfield.
The Denver Broncos traded Keenum to Washington last offseason, and because of a lingering injury to Colt McCoy and Dwayne Haskins' inexperience, he was named the Redskins' starter for the season opener.
Keenum started four of the first five games of the season and then returned to the lineup after coach Jay Gruden was fired before Week 6. Keenum started eight games before the Redskins turned to Haskins.
The Redskins weren't set up for any quarterback to have much success, with tackle Trent Williams holding out and tight end Jordan Reed sidelined all season because of a concussion. Keenum completed 64.8% of his passes and threw for 11 touchdowns with five interceptions.
Keenum, who turned 32 in February, entered the NFL as an undrafted free agent in 2012 with the Houston Texans, for whom he made 10 starts in 2013 and 2014. He started 14 games for the Rams in 2015 and 2016. His greatest success was in 2017, when he helped the Minnesota Vikings reach the NFC Championship Game.
Keenum has started 62 games in his career and has thrown for 75 touchdowns and 47 interceptions.
ESPN's Turron Davenport and John Keim contributed to this report.