It may come as a surprise, given how much talent comes out of the NFL Draft and the time and resources spent throughout the draft cycle, but almost a third of the league’s rostered players didn’t hear their name called during the NFL Draft.

Undrafted free agents are intertwined with the fabric of the league, filling out the bottom half of rosters and occasionally becoming some of the league’s best, like quarterback Kurt Warner and tight end Antonio Gates.

With so many prospects vying for so few spots, it’s a numbers game and an uphill battle. But undrafted free agents can not only make teams coming out of camp – they can make an impact, too.

At the start of rookie minicamp, the New York Jets released their class of undrafted free agents.

• Shemar Bartholomew, CB, Georgia Southern
• Jimmy Ciarlo, LB, Army
• Peewee Jarrett, QB, West Florida
• Tyreek Johnson, EDGE, South Carolina
• Brady Latham, OL, Arkansas
• Jarius Monroe, S, Tulane
• Lincoln Sefcik, TE, South Alabama
• Leonard Taylor III, DL, Miami
• Eric Watts, DL, Connecticut
• Al Blades Jr., S, Duke
• Tyler Harrell, WR, Miami
• Tre Jenkins, LB, San Jose State
• Myles Jones, CB, Duke
• Braiden McGregor, EDGE, Michigan
• Marcus Riley, WR, Florida A&M
• Jackson Sirmon, LB, California
• Willie Tyler, OL, Louisville

Those 17 names aren’t without some notable prospects, either.

Taylor was projected to be an early Day 3 pick after flashing impressive pass-rushing prowess when moved across the front. He played plenty of snaps at nose tackle, though, where those skills were less evident, and he didn’t test particularly well.

Harrell, his teammate, will have some fans throughout camp, too. There are inherent concerns with a 193-pound frame and just nine reps on the bench press, but you can’t teach 4.29-second 40-yard dash speed, and New York’s receiving corps isn’t completely settled. If there’s a future on special teams, he has a shot to make the roster.

How Will Leonard Taylor Fit Jets Defense?

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How Will Leonard Taylor Fit Jets Defense?

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Latham and Monroe are widely supported signings, too, receiving some hype throughout the draft process, even as their respective stocks fell out of favor with the league.