Greene had surgery Tuesday to repair a ligament in his right thumb, which he injured Sunday against Miami. Greene is eligible to return to practice Nov. 3, which falls during the team's bye week, and could play Nov. 19 against Tennessee. He also could practice for up to 21 days before re-joining the 53-man roster.
A fifth-round draft pick from Florida State, Greene caught nine passes for 35 yards and a touchdown in two games with the Jaguars (1-1).
Walters had two receptions for 17 yards in the season opener against Carolina. He was released six days later.
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