"He threw back-to-back days on Tuesday and Wednesday," Price said. "From a practical standpoint, it would be better to go into a new series with a group of fresh arms. I would say his is probably not."
Chapman has been working to return from being struck in the face by a line drive on March 19, an injury that required surgery to repair fractures above the left eye and nose.
Mark Sheldon is a reporter for MLB.com. Read his blog, Mark My Word, and follow him on Twitter @m_sheldon. This story was not subject to the approval of Major League Baseball or its clubs.