Chapman played catch on the outfield grass with bullpen catcher Nilson Antigua for about 10 minutes on Wednesday afternoon and reported that he felt good.
As a policy to keep the opponent in the dark, Price never reveals before a game whether a reliever is available.
On for a non-save situation in the ninth inning of Game 1 of Sunday's doubleheader with the Rockies, Chapman issued four straight walks to allow a run before the Reds were walked off for a 10-9 loss. Price revealed Monday the club learned after the fact that Chapman's shoulder was feeling achy.
"There's not a concern for a longterm layoff being necessary," Price said on Wednesday.
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.