Off contract in June, former Manchester United prospect Gomes is being linked with a return to the Premier League this year.
Gomes has stated he plans to see out the season with Lille, though is now free to negotiate pre-contract terms with any foreign club ahead of a summer Bosman transfer.
The Telegraph says Tottenham are in talks with Gomes' camp about a pre-contract arrangement. Spurs are happy to wait until next season before the England international's arrival.
Gomes has been on the books at Lille since 2020.