Green Bay has nine of its 11 draft picks under contract.
First-round pick Jaire Alexander signed his rookie deal Tuesday, according to the Packers.
The 18th pick of the draft, Alexander is expected to battle for a starting spot in a revamped secondary. The Packers traded 2015 first-round pick Damarious Randall to Cleveland and allowed safety Morgan Burnett to walk in free agency. The team then added veteran cornerback Tramon Williams, before drafting Alexander and second-round pick Josh Jackson.
“The competition in the cornerback room, and just the whole defensive back room, is vastly improved [from] where it’s been the last two years,” coach Mike McCarthy said after the draft.
The only remaining unsigned picks are Jackson and linebacker Oren Burks, the team’s third-round pick.