ICC Chief Executive Officer Malcolm Speed said that the compelling bids submitted by the two parties might see neither of them receiving a majority from the Execute Board, which is to meet here and decide the host on April 30.
"It may be that neither submission has sufficient support at the end of the meeting in which case the Board will have to reconvene at a later date," Speed was quoted as saying in an ICC media release.
That situation might lead to a decision on who would host the 2015 edition of the game's flagship event being put on hold, too.
"We put in place some very strict compliance guidelines so a lot of work has gone into both of these submissions" by the four Asian Test playing nations and Australia-New Zealand, Speed said.
"Both have government support and have indicated their ability to comply with strict ICC criteria regarding the number of venues, the quality of facilities and the exemption from tax.
"This leaves us in a very positive position where we have two strong options for the ICC Cricket World Cup 2011 and there will doubtless be extensive discussion as to which submission will be successful.