David Wright has played every game this season, while Daniel Murphy has played in every game since being on paternity leave.
Terry Collins told reporters Monday that he has a plan for giving a day off to each player, but he would not say when it would happen.
The Mets will travel to Chicago and San Francisco on their current road trip. It is expected Wright and Murphy will each get a day off at some point before the team returns home.
Mets reporter Adam Rubin speculates that Murphy will be off Thursday, when the Mets face Cubs LHP Travis Wood, since left-handed hitters are batting .161 against him (ESPN, June 2).