In Los Angeles last week, Claypool told TMZ that he would "love" to see Jones come to the Steel City.
After ten seasons with the Falcons, the All-Pro wide receiver is looking to get out of Atlanta and has requested a trade.
Claypool, 22, had a fine rookie season himself, catching 62 passes for 873 yards and nine touchdowns.
And although Pittsburgh is already stacked at wide receiver -- with Claypool, JuJu Smith-Schuster, Diontae Johnson and James Washington -- the second-year player out of Notre Dame would welcome Jones to the WR room.
"You can never get too many superstars," Claypool said.