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The Green Bay Packers missed out on one cornerback Tuesday and could be on the verge of losing another.

Cornerback Tramon Williams is scheduled to visit with the New Orleans Saints Tuesday night, according to ESPN and The Times-Picayune. Williams was roots in Louisiana. He was born in Houma, went to high school in Napoleonville and attended Louisiana Tech.

The Packers remain in the running to re-sign the ninth-year cornerback, but might have to stretch out of their comfort zone to keep him with how hot the market has been so far at cornerback.

Earlier Tuesday, an NFL source confirmed Davon House's departure from Green Bay in favor of a four-year contract with the Jacksonville Jaguars that has an average salary of between $6 and $6.25 million.

The Packers have been monitoring both cornerbacks, allowing the market to dictate value. Williams will turn 32 years old next week, but still could command a $6 million-per-year contract. Veteran Cary Williams, 30, signed a three-year, $18 million contract Tuesday with Seattle.

Byron Maxwell (six years, $65 million), Brandon Flowers (four years, $36 million), Buster Skrine (four years, $25 million) and Kareem Jackson (four years, $34 million) have agreed to lucrative deals in the past few days.

Getting a deal done with Williams is a critical piece to Green Bay's offseason blueprint. Cornerback was arguably the Packers' greatest defensive strength last season. The Packers have five cornerbacks under contract for next year — Sam Shields, Casey Hayward, Micah Hyde, Demetri Goodson and Tay Glover-Wright — but only Shields is a proven option on the perimeter.

If Williams follows House out the door, the Packers likely would have to delve into the draft or free agency themselves to find reinforcements. They reportedly had some interest in all-pro cornerback Darrelle Revis before he signed Tuesday evening with the New York Jets.

Another Patriots cornerback, Brandon Browner, is also on the market after New England didn't pick up his option.

Along with Williams' trip to the Saints, former Packers Jarrett Boykin reportedly will visit with the Carolina Panthers Wednesday after not being tendered a restricted contract.

-- whodkiew@pressgazettemedia.com and follow him on Twitter @WesHod

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