The former Swiss international has impressed since taking charge of Basel last year, guiding them to the domestic title while also eliminating Tottenham from the Europa League.
Reports in Switzerland have claimed that Spurs had made enquiries about Yakin and his possible availability, with some even suggesting his agent was due in London for talks.
However, Basel insist they have heard nothing from Tottenham, who are searching for a new head coach following Monday's sacking of Andre Villas-Boas.
Their president Bernhard Heusler told Swiss daily Blick: "There has been no contact between the clubs."
Yakin, who is currently on holiday as the Swiss league enjoys its winter break, has also been linked with Lazio, but he insists he has not heard anything from either club.
"I am enjoying my holidays. I have had no contact with Lazio or Tottenham," he is quoted as saying by Blick.
Tim Sherwood has been placed in caretaker charge and hopes he can encourage an immediate impact, starting with the visit of West Ham to White Hart Lane in the Capital One Cup quarter-final on Wednesday night.
"When you lose your manager, it's a change and you've got to listen to a different voice, but I'm hoping to get a few messages across in a short space of time so we can get a positive result against West Ham," Sherwood told Spurs TV.
"It's a huge game, especially on the back of what they did to us at the Lane. It was disappointing.
"We have to get out there on the front foot and we have to impose ourselves on them as soon as we can during the game."