Spurs, who signed Jermain Defoe from Portsmouth earlier this month, said on their website they were waiting for a work permit to finalise the deal.
Wigan chairman Dave Whelan turned down an initial 10 million pounds ($14 million) bid for the player, who is widely estimated to have cost Spurs 14 million.
Wigan paid Honduran club Olimpia 1 million pounds for him a year ago. He also had a loan spell at Birmingham City.
He is likely to make his debut in next week's Premier League match at home to Stoke City as he is ineligible for Wednesday's League Cup semi-final against Burnley.
He will also not be able to play in Spurs' FA Cup tie at Manchester United on Saturday as he was in the losing Wigan team against Spurs in the third round on January 2.
Spurs boss Harry Redknapp will be hoping he will add some steel to his midfield as Spurs continue in their fight against relegation.
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