The finals - initially due to be staged in China - were pulled out of the region following the SARS epidemic.
Although the US is by far and away the favourite, Sweden has staged the event before and are likely to put up a strong argument.
Expected bids from Australia and Italy, failed to materialise by FIFA's deadline.
Said a FIFA spokesman: "We anticipate a decision being made later this month."
FIFA has confirmed it will be a straight shoot-out between the US and Sweden to host the rescheduled Women's World Cup finals.
