The Jets might not have a lot to spend in free agency, but they are checking out tight ends.

Josh Hill, a restricted free agent who spent the last three seasons with the Saints, visited Florham Park on Thursday. Word of Hill's meeting with the Jets was first reported by Field Yates of ESPN.

Hill, a 2013 undrafted free agent, has 36 career catches for 340 yards and eight touchdowns.

The Saints had extended Hill the low ($1.671 million for one year) restricted tender last week. That designation gives the Saints the right of first refusal if the Jets were to offer Hill a contract. Also, the Jets would not owe the Saints anything in draft-pick compensation if Hill were to sign.

The Jets did not make much use of their tight ends in the passing game last season, with Kellen Davis and Jeff Cumberland combining for just eight catches. Davis has been re-signed to another one-year contract; Cumberland has been released. Zach Sudfeld, who spent all of last season on injured reserve with a torn ACL, will also be back. As will Jace Amaro, a 2014 second-round pick who missed last season with a shoulder injury.

Hill was one of three players to make free agent visits to the Jets on Thursday. Ex-Ravens outside linebacker Courtney Upshaw and ex-Broncos wideout/punt returner Jordan Norwood also dropped by.

Dom Cosentino may be reached at dcosentino@njadvancemedia.com. Follow him on Twitter @domcosentino. Find NJ.com Jets on Facebook.