Hill (foot) took first-team reps during Monday's practice session, Ian Rapoport of NFL Network reports.
Hill has been dealing with a plantar fascia injury recently, but it appears as though he could overtake Trevor Siemian for starting duties once he's deemed healthy enough to play. The 31-year-old signed a four-year, $22.5 million contract extension with the Saints last week and has completed seven of eight passes for 56 yards and a touchdown while rushing 20 times for 104 yards and three touchdowns across seven appearances in 2021.