Landry is working his way back from hip surgery and is still on schedule in his recovery, according to the team.
Landry, 27, is a former second-round pick of the Dolphins back in 2014. He was entering the final year of his four-year, $3.5 million contract when Miami traded him to the Browns in 2018.
Cleveland later signed Landry to a five-year, $75M extension with $47M guaranteed.
In 2019, Landry appeared in 16 games for the Browns and caught 83 passes for 1,174 yards receiving and six touchdowns.
Moore, 25, is a former fourth-round pick by the Packers back in 2018. He was set to enter the second year of his four-year, $2.9 million rookie contract when Green Bay cut him loose coming out of the preseason.
The Browns later signed Moore to their practice squad last year and brought him back on a futures contract this past January.
In 2018, Moore appeared in 12 games for the Packers and recorded two receptions for 15 yards receiving (7.5 YPC) and no touchdowns.