England face a potential banana skin when Eoin Morgan's beleaguered side play Bangladesh in a make-or-break World Cup clash in Adelaide on Monday.

England lost to Bangladesh by two wickets in the last World Cup in 2011 – a match in which Morgan made 63 – but still survived the shock defeat to qualify for the quarter-finals.

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There will, however, be no second chance this time as England, with one win in four matches, must beat both Bangladesh at the Adelaide Oval and Afghanistan in Sydney on March 13 to stay in contention for the last eight.

Even that may not be enough if Bangladesh, who have five points to England's two, upset co-hosts New Zealand in Hamilton on March 13 to squeak through to the quarter-finals from Pool A.

Morgan will be expected to lead from the front but the gifted left-hander had scored just two half-centuries in 16 World Cup matches so far, nine of them playing for Ireland in 2007.

England have been defeated by Bangladesh just twice in 15 one-day internationals, but a woeful World Cup record over the last 20 years will have even their most optimistic supporters worried.

There has been a century each in the current tournament from Moeen Ali against Scotland and Joe Root in a losing cause against Sri Lanka, but just two other England batsmen have scored half-centuries.

Morgan himself has managed just 90 runs at an average of 22.50, but his biggest worry will be the ineffectiveness of his two pace spearheads James Anderson and Stuart Broad.

Anderson's two wickets so far have come at an unusually high average of 91, while Broad averages 92 for his two wickets.

Bangladesh, meanwhile, have ensured that sharing points with co-hosts Australia in the rained-off match in Brisbane has not been wasted.

Having beaten Afghanistan before losing to Sri Lanka, Bangladesh came up with what skipper Mashrafe Mortaza described as their "best" run chase when they overhauled Scotland's 318 for eight with 11 balls to spare for the lost of just four wickets.

It was the second-best winning chase in World Cup history following Ireland's 329 to defeat England in a Bangalore thriller four years ago.

Bangladesh will be without batsman Anamul Haque, who was ruled out for the rest of the tournament due to a dislocated shoulder and has been replaced by the experienced Imrul Kayes.

 Mortaza said the Tigers, who have made it past the first round just once in the World Cup, are keyed up for Monday's day/night game.