Bangladesh skipper Mashrafe Mortaza's joy at his team's World Cup defeat of England was cut short on Monday when he was threatened with a suspension for slow over-rates.

The International Cricket Council (ICC) said that Bangladesh were two overs short of their target in the thrilling 15-run victory at the Adelaide Oval which gave them a quarter-final place for the first time.

Mashrafe was fined 40 per cent of his match fee, while his players received 20 per cent fines.

"For a captain to be suspended, he must commit two minor over-rate offences or one serious over rate offence during the event," said an ICC statement.

"Therefore, if Mashrafe is found guilty of one more minor over-rate offence during the World Cup while acting as captain, he will receive a one-match suspension during the event."

Bangladesh face New Zealand in their last group game in Hamilton on Friday and are likely to play defending champions India in the quarter-finals.