The tender means the Vikings would receive a first-round draft pick if another team offered Rice a contract that Minnesota declined to match.
Under the current collective bargaining agreement, which is set to expire Thursday night, Rice is a restricted free agent because he has four years of NFL service. There remains the possibility that Rice will become an unrestricted free agent if a new agreement is reached that reverts to rules that were in place before 2010.
The Vikings, like many teams, are operating under the free-agency guidelines currently in place.
Rice's agent, Drew Rosenhaus, told the Star Tribune on Sunday that his client would test the free-agent market if given the opportunity.
Rice was one of several Vikings to receive tenders Wednesday.
Defensive end Ray Edwards also received a first-round tender. Safety Husain Abdullah and offensive lineman Ryan Cook received second-round tenders. Defensive end Brian Robison is expected to receive a second-round tender, and Eric Frampton is expected to have a right-of-first refusal tender.