Cincinnati's roster is currently at its 40-man limit, with two players -- relievers Sean Marshall and Nick Masset -- on the 60-day disabled list not counting against that number.
The one name that figures most in the dilemma is top prospect and speedy center fielder Billy Hamilton, who is not on the 40-man roster. He would have to be added before a promotion.
"We have to find a way to do it without losing people," Jocketty said.
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.