However, Hill seems to be ahead of that projection and could be pitching again for Boston in the relatively near future.
The reliever pitched a perfect inning for Class A Greenville on Saturday, striking out the side. He will pitch again for Greenville on Tuesday and perhaps move to Double-A after that.
"Yeah, very positive," said manager Bobby Valentine. "Three strikeouts. Can't get more positive than that."
Andrew Miller also had a scoreless inning for Greenville in that Saturday game, allowing two hits and hitting a batter while striking out two.
Miller will pitch for Greenville on Monday and probably advance to a higher affiliate from there.
Aaron Cook, who could factor into Boston's rotation at some point, reeled off seven strong innings (no earned runs) for Triple-A Pawtucket on Saturday.
"Yeah, he had a very good sinker, dominated with ground-ball pitches and you saw the numbers. Four hits and a run, couple of strikeouts, [he] did good," said Valentine.
Cook has a May 1 opt-out clause in his contract that he might exercise if the Red Sox don't promote him to the Majors by then.