Coke was 2-2 with a 4.67 ERA in 14 games -- one start -- with the Triple-A club. The first appearance for the 26-year-old will be his Major League debut.
"We're going to use Coke out of the bullpen," said manager Joe Girardi.
It will be the 33-year-old Moeller's third stint with the Yankees this season. He hit .227 in the Majors this season, with a home run and eight RBIs.
"He'll be a pinch-hitter, we'll use him as the third catcher [behind Ivan Rodriguez and Jose Molina] and maybe as a DH," said Girardi about Moeller.
Melky Cabrera, who was sent down to Scranton/Wilkes-Barre on Aug. 15, remained in the Minors.
"We talked about pitch selection, running the bases, maybe stealing more bases, taking charge in center field," said Girardi.
"We think he's improved. He's doing OK, and we believe he'll continue to improve as he continues to play and he'll be a good player."
Girardi added that there were no plans or timetable to bring Cabrera back to the Majors any time soon.
Paul Harris is a contributor to MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.