West Ham have lost at Sunderland and at home to Chelsea in their first two games of the Premier League campaign, conceding eight goals in the process.
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Potter's position has been questioned, but the Daily Mail says he retains the support of the board.
Potter will remain in charge for the Carabao Cup tie against Wolves this week and the weekend game against Nottingham Forest.
However, his job will again come into focus if West Ham struggle over the two games.