England and Wales Cricket Board (ECB) chairman David Morgan is due to talk to reporters in Barbados on Thursday after the ECB made no comment on Wednesday over Fletcher's position or that of captain Michael Vaughan.
After Tuesday's nine-wicket hammering by South Africa, Vaughan said he would not be retiring from one-day cricket but that it would be down to others to decide if he stays as captain. He also backed his friend Fletcher.
"I think he is still an outstanding cricket coach," Vaughan said. "Only he knows and he will tell you exactly how he is feeling at this moment. I know he will be very, very disappointed and hurt inside."
Vaughan may escape the axe, despite his poor batting form, because he has been out for a year with knee trouble and was not captain for the 5-0 Ashes mauling by Australia at the turn of the year.
After that humiliation, the ECB announced that Fletcher's role would be reviewed after the World Cup. A decision may be announced on Thursday or the issue could drag on for several weeks.
England have beaten only one test-playing nation, Bangladesh, so far in the World Cup.
England play their final Super Eights match against hosts West Indies in Barbados on Saturday.
