Jay Glazer of Fox Sports is reporting that the Giants have agreed to trade tight end Jeremy Shockey to the Saints for second- and fifth-round draft picks in 2009.

Shockey must pass a physical and the league office must approve the trade before it can become official, but the deal appears to be close to done.

Glazer reports that the Giants accepted the same offer that the Saints have been making for months. It is not clear what prompted the Giants to finally accept the offer.

Shockey will become the Saints’ No. 1 tight end, and will undoubtedly be used as a wide receiver in some packages in Sean Payton’s offense. Kevin Boss will be the Giants’ No. 1 tight end, continuing in the role he played for the Giants during their postseason run.