LSU spokesman Michael Bonnette, who confirmed the players' departures on Tuesday, says it's not clear where the pair intend to continue their college careers.
Quinn and Spears recently completed their sophomore seasons. Quinn caught five passes for 83 yards in 2015. Spears has played on special teams.
LSU also has some highly rated recruits coming in at receiver, led by Drake Davis.
Three receivers have now left LSU this offseason. John Diarse was the first, transferring to TCU.