Greene has been out since suffering an ankle injury in Week 2. His return would add more depth to the Packers secondary when they play their first playoff game next weekend.
Greene can practice with the team for as long as three weeks before Green Bay must make a decision on activating him to the roster.
Greene, 24, wound up signing on with the Packers as an undrafted free agent out of James Madison back in May. He agreed to a three-year, $1.71 million contract and managed to make the 53-man roster coming out of the preseason last year.
In 2019, Greene has appeared in two games for the Packers and recorded seven tackles and a pass defense.