On July 30, 2015, the Tampa Bay Buccaneers signed Everett to a three-year, $1.48 million contract that includes a signing bonus of $8,500. Throughout organized team activities with the Buccaneers, he competed for a roster spot as a backup cornerback against Mike Jenkins, Isaiah Frey, Sterling Moore, C. J. Wilson, and Leonard Johnson. On July 29, 2016, the Buccaneers waived Everett.
On August 1, 2015, the Washington Redskins signed Everett after cornerback Bashaud Breeland sustained an injury to his right knee and was expected to miss 4–6 weeks. Upon his arrival at Redskins' training camp, Everett competed for a roster spot against Justin Rogers, Thomas Wolfe, DreQuan Hoskey, Tajh Hasson, Bryan McCann, and Quinton Dunbar. On September 7, 2015, the Washington Redskins waived Everett, but signed him to the practice squad the following day. On October 3, 2015, the Redskins promoted Everett to the active roster after DeAngelo Hall sustained a toe injury the previous game. He made his professional regular season debut in the Washington Redskins' 23–20 victory against the Philadelphia Eagles in Week 4. On October 18, 2015, Everett recorded his first career tackle on linebacker Trevor Riley while covering a kickoff in the second quarter of the Redskins' 34–20 loss at the New York Jets. In Week 10, he collected a season-high five combined tackles during a 47–14 victory against the New Orleans Saints. The following week, Everett made one tackle before leaving the Redskins' 44–16 loss at the Carolina Panthers in the second quarter due to a hamstring injury. The injury sidelined him for the next two games. Everett finished his rookie season in with 16 combined tackles in 11 games and zero starts. The Washington Redskins finished first in the NFC East with a 9–7 record in 2015. On January 10, 2016, Everett appeared in his first career playoff game and recorded a solo tackle during their 35–18 loss to the Green Bay Packers in the NFC Wildcard Game.
2016
During training camp, Everett opted to switch to safety after it became evident his ability to make the roster at cornerback would be difficult due to the signing of Josh Norman and the selection of Kendall Fuller in the 2016 NFL Draft. Head coachJay Gruden named Everett the third free safety on the depth chart, behind DeAngelo Hall and Will Blackmon. He was promoted to backup free safety after DeAngelo Hall tore his ACL in his right knee and starting strong safety David Bruton was placed on injured reserve in Week 4. On December 11, 2016, Everett recorded a tackle and made his first career interception off a pass by Carson Wentz during a 27–22 victory at the Philadelphia Eagles in Week 14. On December 15, 2016, the NFL fined him $48,000 for two penalties during special teams plays in the fourth quarter of their victory against the Eagles. His first $24,000 fine was for hitting a defenseless player penalty he committed on Eagles' running backDarren Sproles during a punt return. His second $24,000 fine was for an illegal blindside block on tight endBrent Celek during a Redskins' punt return. In Week 15, Everett collected two solo tackles in the Redskins' 26–15 loss to the Carolina Panthers. He finished his first season as a safety with 11 solo tackles, a pass deflection, and an interception in 16 games and zero starts.
2017
Throughout training camp, Everett competed for a spot as a backup safety against Will Blackmon, Earl Wolff, Josh Evans, Montae Nicholson, Stefan McClure, and Fish Smithson. Defensive coordinatorGreg Manusky named Everett the starting strong safety, alongside free safety D. J. Swearinger, after Su'a Cravens announced his decision to retire a week before their season-opener. He made his first career start in the Washington Redskins' season-opener against the Philadelphia Eagles and recorded seven combined tackles in their 30–17 loss. After Week 3, rookie Montae Nicholson started in place of Everett after he sustained a sprained MCL. Nicholson remained the starting strong safety after performing well in Everett's absence. Everett entered the game for base packages while Nicholson was used for nickel packages. In Week 4, Everett recorded four solo tackles before leaving the Redskins' 29–20 loss at the Kansas City Chiefs in the third quarter after sustaining a hamstring injury. He was sidelined for the next two weeks due to the injury. On November 23, 2017, Everett earned the start at strong safety after Nicholson sustained a concussion during their 34–31 loss at the New Orleans Saints the previous week. He finished the Redskins' 20–10 victory against the New York Giants with seven combined tackles. He remained the starting strong safety for the remaining six games of the regular season. On December 10, 2017, Everett recorded a season-high 11 combined tackles and deflected a pass during a 30–13 loss at the Los Angeles Chargers in Week 14. In Week 17, he collected a season-high seven solo tackles, three assisted tackles, and a pass deflection in the Redskins' 18–10 loss at the New York Giants. He finished the season with 62 combined tackles and five pass deflections in 14 games and eight starts.
2018
On March 6, 2018, the Washington Redskins signed Everett to a two-year, $2.60 million contract that includes a $250,000 signing bonus.
On November 3, 2019, Everett signed a three-year contract extension with the Redskins through the 2022 season. He was placed on injured reserve on December 7.
