NFL teams don't waste time with priority signings, specifically in-house players with expiring contracts.
Free-agent classes typically feature several top-tier players and unheralded gems until clubs start to re-sign starters and key contributors before they test free agency in March.
Once an unrestricted free agent hits the open market, he decides his future with the ability to field offers. Clubs have the first right of refusal with restricted free agents who sign offer sheets from other suitors.