The Portuguese ace has made little impact at Old Trafford this season under David Moyes, leading to speculation that he will be allowed to leave this month.
A switch to Italy has been mooted, but now Spurs have weighed in for the pacey wide-man.
Tim Sherwood is thought to be keen to add to his squad as the deadline approaches, and sees Nani as a decent arrival.
With United having secured Juan Mata and handed Adnan Januzaj an increased first-team role, the former Sporting Lisbon ace appears to be free to leave, and could be allowed to join a domestic rival.
Tottenham are hopeful that a loan deal can be secured, even though they are in direct competition with the Red Devils for a top four finish.
The Premier League champions may be tempted to strike a deal, with regular playing time possessing the potential to see Nani’s value rise ahead of the summer transfer window.
Inter Milan are said to be extremely interested, and may mount a serious offer.