Wright -- who has yet to appear in a Grapefruit League game -- has taken grounders but has not thrown. And he has yet to swing a bat.
Team doctor Struan Coleman is expected to examine Wright in Port St. Lucie this weekend before Wright is cleared to increase his rehab workload.
Mets manager Terry Collins said Coleman already had planned the visit, and it was not particular to Wright. It will spare Wright a trip to New York to be examined at the Hospital for Special Surgery.
"He hasn't done anything full speed yet," Collins said.
Collins insisted the exam by a team doctor is not an ominous sign.
"No, no, no," the manager said. "He's actually getting better."