Yelich has been sidelined since April 19 with a bulging disk in his lower back.
The Rays are hoping that Moore will be ready to return around the middle of June.
Gomez has been out since April 15 due to a strained right hamstring.
Wilpon denies the claim that he urged Martinez to pitch hurt in 2005.
Puig is currently sidelined with a strained left hamstring, but he's nearing his return to the Dodgers.