Jeter, 42, retired following the 2014 season after a storied 20-year career with the Yankees in which he won five World Series titles and knocked out 3,465 hits.
Davis, 26, has appeared in various magazines, including the Sports Illustrated Swimsuit Issue from 2013-16.
Cash Kruth is a reporter for MLB.com. Follow him on Twitter at @cashkruth. This story was not subject to the approval of Major League Baseball or its clubs.