The Tigers signed Jones to a minor-league contract Sunday.
Jones cleared waivers and was outrighted to Triple-A Scranton/Wilkes-Barre by the Yankees on Friday.
The Yankees designated Jones for assignment Monday, Chris Kirschner of The Athletic reports.
Jones will start at designated hitter and bat leadoff in Tuesday's game versus the Mets.
Jones went 3-for-5 with two runs and an RBI in Friday's 16-5 victory versus the Blue Jays.
Jones went 1-for-2 with a solo home run and a walk against the Rays in Sunday's 10-6 victory.
Yankees manager Aaron Boone said Monday that Jones is in the mix for an Opening Day roster spot, Bryan Hoch of MLB.com reports.
The Yankees claimed Jones off waivers from the Brewers on Wednesday.
The Brewers designated Jones for assignment Wednesday, Todd Rosiak of the Milwaukee Journal Sentinel reports.
The Brewers optioned Jones to Triple-A Nashville on Saturday.