The promotion-targeting Cherries are hunting for a new manager after sacking Jason Tindall following four straight league defeats and a run of one win in eight which has left them sixth in the Championship and eight points off the top two.
The Daily Mail says along with Terry, Patrick Vieira is another high-profile figure to emerge as a possible contender.
Bournemouth are aware of Aston Villa assistant coach Terry's ambition to move into management and believe he would be interested in the role.
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