Wright missed four months last season dealing with spinal stenosis in his lower back. And doctors advised him to spend a month idle after the World Series.
Team personnel now are proceeding slowly with Wright to ensure he is ready for the season without overexerting himself and risking a setback with his back.
Wright recently ran bases, which marked the final step in his progression toward being game-ready.
The minor league action may be limited to at-bats -- not playing the field. Manager Terry Collins said Wright likely would advance to Grapefruit League games shortly after Wednesday's team day off.
"Our medical staff, the coaching staff obviously have been taking it slowly with me," Wright said Saturday afternoon. "They want to see me do different things. It's not like they're letting me do everything in one day. It's, 'Today we're going to do this. If you do good with that, tomorrow we're going to do this.' Kind of a progression. I think I'm at the point now where I'd like to move forward as much as possible, or as much as they let me. I think the first step with that, what Terry and I talked about, was possibly going and getting some at-bats over on the minor league side."