Arizona sent the 38th pick to San Diego for the 40th and 216th choices.
The Te'o story is well known, of course. He said he was duped into a fake online relationship, creating headlines that threatened to overshadow his playing career.
The Cardinals could use help at inside linebacker, but they also need draft choices as first-year coach Bruce Arians and first-year general manager Steve Keim reshape the roster. Arizona now holds the 45th, 69th, 103rd, 110th, 140th, 174th and 219th choices. The team drafted guard Jonathan Cooper at No. 7.