Hill (knee) hopes to start Tuesday's game against the Astros, Julian McWilliams of The Boston Globe reports.
Hill has been sidelined since early July due to a knee injury, but he made a rehab start at Double-A Portland on Thursday and allowed a run on four hits and no walks while striking out five in three innings. If the southpaw is cleared to return from the injured list to make Tuesday's start, he'll likely have his pitch count monitored since he tossed just 56 pitches during Thursday's rehab outing.