Lugo (elbow) will make a rehab start for High-A St. Lucie on Tuesday, Justin Tasch of the New York Daily News reports.

Assuming all goes well Tuesday, the right-hander will make one more rehab start before rejoining the Mets in early June. The club hasn't yet announced what role Lugo will fill upon his return, but neither Robert Gsellman nor Tommy Milone has done much to secure a spot in the rotation.