The Vikings released Winfield less than two weeks ago. The club is still in contact with Winfield, as are one or two other unnamed teams, per Rapoport.
The Redskins let go of veteran cornerback DeAngelo Hall earlier this month.
Winfield, who turns 36 in June, notched 101 tackles and intercepted three passes for Minnesota last season. His versatility and physicality have been among the traits that have defined his 14-season NFL career.