Bangladesh coach Mohsin Kamal's job could be on the line unless they can raise their performance in their remaining first round games.
Embarrassed by Canada in their first match, the Tigers were thrashed by Sri Lanka on Friday after losing their first three wickets to the first three balls of the game bowled by Chaminda Vaas.
Bangladesh were granted full member status of the International Cricket Council in 2000 after a shock win over Pakistan at the previous year's World Cup.
But they have yet to win a game in either Test or one-day cricket since then.
"Bangladesh's performances here have been hugely disappointing and if we fail in all our games it would be a cricketing disaster back home," said team manager Abu Sharif Faruque.
"I received very negative feedback after the loss to Canada because it was a match we were expected to win, and this will affect the following back home."
He added: "The problem is that in the sub-continent we blame each other, rather than finding the root cause so everyone has to face the consequences."
Coach Kamal has an unenviable task
Kamal, who played nine Tests and 19 one-day internationals for Pakistan, took over as coach last April after Australian Trevoir Chappell's contract was terminated.
On taking up the post, he said: "I don't say that I would turn the side into world champions or one of the top most squads, but I am confident that I will be able to bring some measurable improvement in the team."
But the results against Canada and Sri Lanka have left him searching for a quick fix to their problems.
Bangladesh appear to have little chance in forthcoming games against West Indies, South Africa and New Zealand, so their final match against Kenya on 1 March has assumed special importance.
"Bangladesh have talent, but they will not be successful until they put in a collective effort - our last chance will be against Kenya," Kamal commented.