With training camps looming, teams are rushing to get picks signed. Here are the latest draft deals:

• The Falcons signed third-round center Matt Hennessy. The No. 78 overall pick is set to develop behind Pro Bowler Alex Mack, whose contract expires after the 2020 season. Atlanta’s Hennessy pick caused Denver to change course, with the Broncos having a deal in place with the Jets to move up to No. 79 to draft the Temple blocker. But the Falcons struck one pick earlier, allocating another early-round resource to their offensive line after using two first-round picks on the group last year.
• The Jets were busy Monday, signing three of their 2020 draftees. Third-round pass rusher Jabari Zuniga (Florida), fourth-round quarterback James Morgan (Florida International) and sixth-round punter Braden Mann (Texas A&M) are now under contract. Mann is on track to be Gang Green’s punter, while Zuniga may a rotational role from the outset. Despite an apparent need, the Jets were not especially aggressive in addressing their years-long edge-rushing issue this offseason. Morgan will be on track for the developmental route, with the Jets having signed Joe Flacco after the draft.
• Two Cowboys picks agreed to terms as well. Fifth-round defensive end Bradlee Anae (Utah) and seventh-round quarterback Ben DiNucci are under contract. Both project as backups, with the latter — a former Pitt recruit who transferred to James Madison — joining Clayton Thorson as UDFA QBs behind Dak Prescott and Andy Dalton.