E-Rod will start again in the Minors on Tuesday, and Boston will evaluate what's next after that outing.
"We'll see where we are with how he's feeling physically, how he's responded to the work with the knee and all," Red Sox manager John Farrell said. "But hopefully his return to us is making progress by the day."
Rodriguez suffered a patella subluxation (partial dislocation) in his right knee on Feb. 27. He made a couple of starts in extended spring training before moving up to Triple-A on Thursday.
Ian Browne has covered the Red Sox for MLB.com since 2002. Read his blog, Brownie Points, and follow him on Twitter @IanMBrowne. This story was not subject to the approval of Major League Baseball or its clubs.