Nintendo said it was "doing everything possible" to keep up with demand.
Its push to fill the shelves in time for Christmas will see it ship an extra 3.5 million consoles globally. It is not known how many extra consoles will make it to UK shelves.
In April Nintendo estimated a yearly shipment of 14m units, but that has now been raised to 17.5m.
Despite this, the gaming giant admitted that not everyone who wants one is guaranteed a Wii this Christmas.
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