Donnie Jones, a restricted free agent, agreed to sign an offer sheet by the St. Louis Rams on April 12.
The Miami Dolphins have seven days to match the five-year deal worth $5.9 million including a $1.175 signing bonus.
If they don't, they would receive the Rams' seventh-round draft pick.
According to Jones' agent, Drew Rosenhaus, the Dolphins will not match the offer.
The only punter on the Dolphins roster is Ryan Flinn from Central Florida.
With the draft around the corner, the Dolphins could turn towards local University of Miami product Brian Monroe who has worked out with the team.
Monroe, a four-year starter, had a career punting average of 39.8 with 235 punts. In his final season at UM, he set a career-high averaging 42.0 yards per punt last season.
His 74-yard punt in 2006 was the fourth-longest in school history and the longest in 28 years.
Monroe was the subject of inconsistent performance throughout his caeer at UM. He was known for having a great leg, but often times came up with short punts thus not maximizing his potential on a consistent basis.
Last spring Monroe was one of the hot topics as he practiced at wide receiver throughout spring practices. The 6-foot-1 Monroe runs routes very well and has good speed. Although he did not catch a pass in his UM career, an NFL team could be interested in his versatility.
While there is a better chance of Monroe not getting drafted, don't be surprised if his name does get called.
And don't be surprised to see him in Dolphins camp.
Christopher Stock can be reached at firstname.lastname@example.org
Dolphins Interested in Monroe?
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