Curtis was hitting .280 with 12 homers and 46 RBIs in 35 games at Triple-A. The Arizona State product was a fourth-round Draft selection in 2006 and could offer the Yankees flexibility for double-switch situations or pinch-hitting opportunities, manager Joe Girardi said.
In a corresponding roster move, the Yankees designated catcher Chad Moeller for assignment. Curtis had been considered earlier in the season to be called up to New York, but he suffered a high ankle sprain in late April.
"I missed a month and got back and started playing," Curtis said. "It was a little rough for about a week or two, and then the last week or so I was feeling good again."
Girardi said he asked for a left-handed hitter in part because the D-backs' bullpen is comprised of all right-handed pitchers.
Moeller's removal is also a sign that the Yankees are confident that Jorge Posada's right foot -- which he fractured in May -- is not going to be an issue. Girardi said it is possible Posada could catch four of six games on this trip, though back-to-back days aren't guaranteed.
"He's been great at dealing with this," Girardi said. "He's had some aches in the games he caught, but I think we're pretty much on target."