White led Green Bay in the preseason with 157 yards receiving, along with two touchdowns on 16 catches. Janis had 149 yards and a team-high three receiving scores on 10 receptions.
Janis was a seventh-round draft pick in 2014, one of six players left from that class after the team announced moves Saturday to get down to the 53-man roster limit.
A Wisconsin native, Abbrederis was a sentimental favorite among Packers fans after playing in college in-state with the Badgers.
But Abbrederis' tenure in Green Bay was marked by injuries. He suffered a season-ending knee injury in the preseason last year. This preseason, he took part in just the first and last practices of training camp after suffering a concussion. He played in the preseason win Thursday against New Orleans.
The makeup of the receiving corps has been in the spotlight since Nelson suffered a season-ending right knee injury during a preseason loss on Aug. 23 at Pittsburgh.
Randall Cobb is also recovering from a sprained right shoulder, though he has said he plans to be ready for the season opener on Sept. 13 at Chicago.
Cobb, a five-year veteran, is the most tenured member of a young receiving corps. Along with White and Janis, promising second-year player Davante Adams is the No. 2 wideout, while rookie Ty Montgomery has had a good camp.
It's possible that Thompson could still be keeping an eye on veteran free agent wideouts, including former Packer James Jones, who was cut by the New York Giants.
Receiver Larry Pinkard, who had a 77-yard touchdown reception on Thursday, was designated waived/injured.
Rookie tackle Christian Ringo, one of the team's three picks in the sixth round, was the only member of the 2015 draft class to get cut Saturday.
Also let go on Saturday were: safety Jean Fanor; offensive linemen Garth Gerhart, Matt Rotheram, Andy Phillips and Jeremy Vujnovich; cornerbacks Tay Glover-Wright and Ryan White; tight ends Mitchell Henry and Justin Perillo; linebackers Joe Thomas and James Vaughters; and receiver Ed Williams. Linebacker Jermauria Rasco joined Pinkard on the waived/injured list.