Heckert's stance would seem to rule out the Browns making a run at Green Bay quarterback Matt Flynn, the prize of this year's free agent group.
Heckert reiterated the Browns are open to re-signing running back Peyton Hillis, who had a drama- and injury-filled second season in Cleveland. Hillis, who rushed for 1,177 yards in 2010, recently changed agents again and will be an unrestricted free agent.
"If we can work things out, he'd like be here," Heckert said. "And if we can do it, we'd like him to be here. Whether he has to wait till he sees what happens in free agency, that's fine with us. We're willing to do that. We'll just have to wait and see how things go."
On other Browns issues, Heckert said:
— The team has not had any contact with linebacker Scott Fujita, who played for New Orleans from 2006-09 and is reportedly entangled in the Saints' "bounty" scandal.
— He would like to sign veteran kicker Phil Dawson to a long-term contract. The Browns placed their franchise tag last week on Dawson, who has been with Cleveland since 1999 and his coming off one of his finest seasons.
— The Browns want to retain free safety Mike Adams and cornerback Dimitri Patterson. Both are scheduled to become unrestricted free agents.
— Right tackle Tony Pashos underwent ankle surgery on Tuesday. Pashos was slowed by an injury to his ankle most of last season.
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