Coach Woodgate, who was doing some scouting for Liverpool, will get the nod if Pulis departs.
Woodgate, 39, is from the Boro area and came back as a conquering hero in his playing days after his time with Leeds and Real Madrid.
With chairman Steve Gibson aiming to work within a tight budget — unless Boro go up through the play-offs — Woodgate would also be a cheap option.
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