"The only way to get over those things is rest," manager Terry Collins said. "He's just got to back off some stuff."
Wright, who revealed his injury over the weekend, will continue to sit out until he feels normal.
"He's very, very aware that if he goes down for three weeks," Collins said, "we've got problems."
The team will proceed slightly less cautiously with Ike Davis, whom the Mets believe has Valley Fever. Davis is scheduled to play three innings Monday and another three on Tuesday. He will not play every day for now, though that is normal for any player in the opening weeks of Spring Training.