The Yankees needed some help at first base after losing Mark Teixeira to injury.
Teixeira is hoping to return at the beginning of May, but a more realistic timetable is probably mid-May.
"Not a lot of people get to do that, so I want to just soak it all in," Overbay said of wearing the Yankees pinstripes.
Overbay was hitting .279 with one home run and six RBIs heading into Thursday's game. The Yankees are the sixth team Overbay has played with in his career.
"When I was looking over here when I was on the other teams, and I was a little jealous, because, I mean, it's the New York Yankees," Overbay said. "There's so much history. They've got so many championships and everything. Now you look at those guys over on the other side where they've got that look too where they're a little jealous. And I'm like, yeah. You can kind of stand a little higher. It's an honor to be able to put the pinstripes on and be a part of it."
Steve Gilbert is a reporter for MLB.com. Read his blog, Inside the D-backs, and follow him on Twitter @SteveGilbertMLB. This story was not subject to the approval of Major League Baseball or its clubs.