The holdout has lasted eight days so far, but is expected to be over by Friday.
Lynch will not be receiving the new deal and added money he sought, but Seattle is expected to add some financial concessions to his contract, per sources.
Lynch is in the third year of a four-year, $30 million deal. He received $6 million of it in a signing bonus. Lynch will make $5 million in base salary this season and $5.5 million in 2015, but he wanted more money up front or more money guaranteed.
Lynch showed up for minicamp in June to avoid a hefty fine, but made a stand with the start of training camp. He is subject to a $30,000 fine for each day of camp he misses.
Lynch, 28, has been the workhorse of the Seattle offense the past three years, rushing for 4,051 yards (along with 39 touchdowns) on 901 carries. He has averaged 300 carries and 1,350 yards over the past three seasons.
ESPN.com Seahawks reporter Terry Blount contributed to this report.