The New York Jets have made it clear they hope to add another quarterback. Predictably, they're investigating the top passers in the draft, including one who probably won't be available when they pick -- Jameis Winston.

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The former Florida State star, the presumptive No. 1 overall pick, is scheduled to visit the Jets' facility in the coming days, league sources confirmed on Saturday.

There is virtually no chance Winston falls to the Jets, who own the sixth pick, but he's highly regarded within the Jets' organization. Aggressive general manager Mike Maccagnan hasn't ruled out the possibility of trading up, sources said, although it's unclear how high he's willing to go or which player he'd be targeting. The cost to move to No. 1 or No. 2 will be enormous, but there's a sense among teams in the top 10 that the Jets are a threat to move up.

The Jets are performing their due diligence on the top-rated quarterbacks. They've conducted private workouts with Oregon's Marcus Mariota and UCLA's Brett Hundley and they're scheduled to host Baylor's Bryce Petty next week.

This doesn't mean they're locked into taking a quarterback. They're simply doing their homework. Truth be told, it would be a bigger story if they didn't schedule private time with them.

Chances are, Mariota also will be off the board by the sixth pick. There's a huge dropoff to the next tier, meaning there might not be another quarterback picked until the second round. There's no clear-cut No. 3 prospect. Petty and Hundley are getting the most attention, but Colorado State's Garrett Grayson also is gaining momentum.