The 3-0 New Orleans Saints have offered star tight end Jimmy Graham a new contract, but he has not yet responded to it, according to a Pro Football Talk report citing anonymous sources.

Graham, in the final season of his rookie deal, has 358 receiving yards, 23 receptions and four touchdowns, and he is by far quarterback Drew Brees’ favorite target.

Many expect Graham to become the best-paid tight end in league history, worthy of a contract of $10 million or more annually. In terms of a possible franchise tag, there could be controversy over whether he should be considered a tight end or wide receiver, given his level of productivity.

Graham, selected by the Saints in the third round of the 2010 draft, has caught 238 passes for 3,006 yards and 29 touchdowns. With two touchdowns catches on Sunday in a 31-7 rout of Arizona at the Mercedes-Benz Superdome, Graham became the all-time franchise leader in scoring receptions by a tight end, leaving behind Henry Childs, who had 27 in between 1974 and 1980.