An adjustable socket assembly includes a collet having a first end, a second end, and a perimeter wall. The second end has a receiving aperture therein. The collet is divided into a plurality a plurality of sections. A sleeve has a bottom end that receives the collet. The sleeve has an interior surface that tapers inwardly and abuts the sections to move toward each other as the sleeve moves toward the second ends of the sections. A biasing member extends through a top end of the sleeve and engages each of the sections. The biasing member is actuated to bias the sleeve downward to close together the sections and engaged the valve actuator. An engagement head is attached to the upper end of the biasing member and engages a tool to rotate the collet.