Former Middlesbrough boss Woodgate has overseen back-to-back wins since taking temporary charge, including guiding Bournemouth into the FA Cup quarter finals.
Ex-England captain Terry, currently No2 at Aston Villa, is still the favourite with many bookies while ex-Nice manager Patrick Vieira has also been tipped to succeed Jason Tindall who was sacked after an indifferent start to the campaign.
Oxford boss Karl Robinson could also emerge as a potential candidate having impressed at the League One club and having a strong reputation working with young players.
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