The former Alabama star, considered the top linebacker available in the 2017 NFL Draft, was at the Jets' facility on a pre-draft visit Monday, and will head to Baltimore next to meet with Ravens officials, per NFL Network Insider Ian Rapoport.
The draft will be held April 27-29 in Philadelphia.
Foster (6-foot, 229 pounds) led the Crimson Tide's staunch defense in tackles last year with 115, including 13 for losses and five sacks. Five NFL.com analysts project Foster to be selected within a fairly tight range -- between No. 9 and No. 15 overall -- in current mock drafts. That's a little too early for the Ravens, who hold the No. 16 overall selection, though the Jets are in a much stronger position to draft Foster with the sixth pick.
Miami TE David Njoku visited the Jets Monday as well, per Rapoport.
Follow Chase Goodbread on Twitter @ChaseGoodbread.