Devine was released by Liverpool when he was 11 but impressed recently while playing for England under-16s.
Wigan took to social media on Tuesday to announce the news.
“Confirmed: U18 midfielder Alfie Devine has completed his permanent transfer to @SpursOfficial,” tweeted the club.
“We wish Alfie well in his future career.”
The transfer is believed to have cost Spurs – who bid farewell to goalkeeper Michel Vorm and defender Jan Vertonghen this week – approximately £300,000.
Wigan are currently facing administration and were relegated from the Championship last week.
The club’s administrators also announced last week that takeover talks with their preferred bidder had collapsed. A total of five offers were made by interested parties