The holdout has lasted eight days so far.
"I don't know that, but that'd be good," Seahawks coach Pete Carroll said.
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, sources said.
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 has accumulated nearly $500,000 in team fines for his holdout through Thursday, but it is unclear if the Seahawks will collect the fines or waive them.
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.
"Obviously, to have a guy like Marshawn back with us, a man who has been to four Pro Bowls, is something we definitely want," Seahawks quarterback Russell Wilson said. "Marshawn is one of those guys who has a knack for playing football. His running ability is unique and one of a kind. He brings whole other level of experience. He's an elite football player."
Last season, only Adrian Peterson had more yards after contact than Lynch's 574, and it was only by a margin of five yards. Lynch ranked first in the NFL in red zone rushing touchdowns last season with 12.
ESPN.com Seahawks reporter Terry Blount contributed to this report.