The Giants also have been linked to another free-agent quarterback, four-time NFL MVP Aaron Rodgers, who remains unsigned.
The Milwaukee Bucks and New York Knicks picked the wrong time of the year to get into a funk. New York's circumstance is understandable, as their best player is sidelined with an ankle injury.
The Giants and veteran Jameis Winston are finalizing a two-year, $8 million deal, according to Fox Sports.
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