Hill will miss four to six weeks, manager Kirk Gibson told reporters in New York (including Danny Knobler of CBSSports.com).
Hill left Arizona's game on Sunday with the injury, but it wasn't thought to be serious. The fracture is small, and initial X-rays and MRIs didn't reveal the fracture. A CT scan revealed the injury, providing a rough blow to the Diamondbacks.
Arizona activated shorstop Didi Gregorius. With Hill out, the D-Backs will use a combination of Gregorius and Cliff Pennington at shortstop and a combination of Martin Prado and Pennington at second base.
Hill, 31, is coming off a monster season and picked up right where he left off. Through 10 games, Hill is hitting .306/.405/.556 with three doubles, two homers and six RBI.
Gregorius, 23, joined the organization this past offseason in the three-team trade that sent Trevor Bauer from the D-Backs to the Indians and Shin-Soo Choo from Cleveland to Cincinnati, among others. He was ranked as baseball's 80th-best prospect by Baseball America before this season.