Alastair Cook says he has to "wait and see" if he is to remain as England's one-day captain, and that he can have "no complaints" if he is stood down.
Sri Lanka completed a 5-2 series win over England on Tuesday, the fourth one-day series loss in a row under Cook's leadership.
"I haven't scored the runs I'd like to have - and we haven't won the number of games I'd like to have," said Cook, 29.
"Whether the selectors still think I'm the right man, we'll wait and see."
|BBC Sport's cricket correspondent Jonathan Agnew:|
|"Alastair Cook has to get his form back and that is the biggest worry of all.|
|"He should be scoring more runs in Test cricket for England than anyone else ever has done but there is a worry.|
|"Looking at how he is playing at the moment and the amount of one-day cricket he is playing and struggling in - the more he works and tries to take apart his technique, he might not get it back again."|
England selectors James Whitaker, Peter Moores, Angus Fraser and Mick Newell will announce a 16-man squad on Saturday, to head to Australia next month for a tri-series against the hosts and India.
The World Cup squad of 15 has to be announced by 7 January, with England's first match in the competition against tournament co-hosts Australia in Melbourne on 14 February.
Cook's position will be reviewed this week, according to head coach Moores, with the left-handed batsman scoring 119 runs in six matches in Sri Lanka with a top score of 34.
In the calendar year, he has failed to score a century in 20 one-day internationals and has just 523 runs at an average of 27.52. His strike-rate of 71.25 will also be a concern.
"I'm incredibly hungry to do well," Cook said. "No one has any divine right to play for England, and my performances this year in the one-day game haven't been good enough.
"If the decision went that way [being removed], then I can't do too much about it. If that happens, I can have no complaints.
"But it's not been for a lack of effort, or being willing to try to improve. I don't like not seeing a job through - and I see a lot of potential in this team."
Speaking earlier in the week, England and Wales Cricket Board managing director Paul Downton said he expected Cook to be captain at the World Cup.
"He's horribly out of form at the moment but, as we all know with form, that can turn," Downton told BBC Sport. "I would be extremely surprised if he wasn't the captain at the World Cup."