In corresponding moves, right-hander D.J. Mitchell was optioned to Triple-A, while Mariano Rivera was placed on the 15-day disabled list. Michael Pineda was transferred to the 60-day disabled list to open a slot for Wise on the Yankees' 40-man roster.
"We've been really playing short; at times it's difficult," manager Joe Girardi said. "Wise is a very good defender. He's been really swinging the bat in Triple-A."
Wise was hitting .333 (25-for-75) with four homers and 10 RBIs at Triple-A, playing all three outfield positions. Eppley is up for his second stint with New York, having allowed one earned run in 5 1/3 innings.