Thompson said that optimism is a "sticky phrase," regarding Green, who is scheduled to become an unrestricted free agent on March 2. The Packers and Green's agents have been negotiating with the Packers in recent weeks, but both sides have yet to come to an agreement. Some experts at the NFL Scouting Combine in Indianapolis feel that Green will test the free agent market, which is weak at the running back position this season.
"We want him back and I think he'd like to be back," Thompson said. "He's a good Packer and he's sort of established as a Packer now. It'd be nice if he finished his career with us."
Green just completed his seventh season with the Packers and is 46 yards away from Jim Taylor's team rushing record of 8,207 yards. Green rushed for 1,059 yards in 14 games last season after sustaining a season-ending quadriceps injury in 2005. Green has rushed for more than 1,000 yards in six of the last seven seasons.
Thompson refrained from saying he is optimistic that the Packers and Green will soon agree to a contract extension.
"I don't know if you're ever optimistic," Thompson said. "A deal gets done when a deal gets done. It's just a matter of a meeting of minds and all that sort of stuff. We're not there yet."
Thompson said that if Green signs with another team, the Packers will have to "overcome and adapt," to a new running back.
California junior Marshawn Lynch is among a handful of running backs that the Packers may consider selecting with the 16th overall pick in the upcoming NFL draft if Green departs for another team.