The defender limped off after 42 minutes of the 3-1 win at Brighton on Saturday with a hamstring knock.
Although manager Gianfranco Zola confirmed the injury is not a long-term problem, Hall faces a race against time to prove his fitness for their second game in four days.
Udinese loanee Neuton filled in for the former QPR man against the Seagulls, and he is a strong candidate to earn a starting place should Hall be ruled out.
Marco Cassetti is another option open to Zola on his return from a one-match suspension, but Lloyd Doyley (calf) continues to miss out.
Striker Fernando Forestieri made the bench at the Amex Stadium on his return from a hamstring problem, but he is unlikely to dislodge in-form forward pair Troy Deeney and Matej Vydra.