2. NY Jets target: Evan Engram
The third 2017 first-rounder on this list, Evan Engram, much like his former draftmates, hasn't lived up to his potential in the NFL. Engram has shown flashes of greatness, but his inconsistencies continue to plague him.
At times, he's a playmaking receiving threat who can stretch defenses and serve as a focal point of his offense. Other times he's dropping passes at crucial moments prompting groans from those watching in the stands and at home.
Engram has 17 drops over the last two seasons — far and away the most of any tight end in football. But he's also finished with 44 or more catches and at least 400 receiving yards in all five of his NFL campaigns.
Much like Gesicki, Engram's lackluster blocking traits make this an odd fit. But Engram needs a chance of scenery, and perhaps he could find it with his former team's crosstown rivals.
1. NY Jets target: Gerald Everett
If the Jets aren't able to sign the "top" names on the market (most likely because they don't even hit the open market), their best bet might be to target a player like Gerald Everett.
Everett isn't flashy and he's hardly a known commodity around the league, but the former second-round pick has a well-rounded skill set that could serve him well in the Jets' offense.
Everett signed with the Seattle Seahawks this past offseason after four years with the Los Angeles Rams and he went on to have a career year. The 27-year-old finished with 48 catches for 478 yards and four touchdowns.
Modest production, sure, but he still proved to be a reliable part of Seattle's offense. In what could be a weak crop of free-agent tight ends, Everett might just be the safe, relatively cheap signing the Jets are looking for.