Warren was told the Jets would select him on Thursday night.
Kimber joined the Nittany Lions from Florida, prior to the 2024 season.
Fleming spent one year at Penn State after playing four years with Ohio State.
Izzard's deal is worth $2,655,000 with $225,000 guaranteed.
Wormley anchored the right guard position for the Nittany Lions last season, starting all 16 games.
Nelson made an appearance in all 16 of Penn State's game in 2024.