The Perth-based franchise are currently looking for a new coach after sacking Richard Graham in April following his announcement he would be joining the Reds for the 2013 Super Rugby season.
However the Tigers insist the O'Connor, who has previously worked with the Brumbies and Australia A, is going nowhere - and is instead looking at extending his stay at Welford Road beyond the end of his current deal next year.
"Matt has not applied for the job and he has no intention of taking it," said director of rugby Richard Cockerill told Leicester Mercury
"In fact, I have already started discussing the possibility of him extending his contract and staying here for longer."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The Barbarians are one of the top invitational rugby sides with a long history and classic rugby jersey.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Lions get ready for their matches with this green training jersey. It's what the players wear. Get in the Gear!
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Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
The Lions are ready to get their Australia tour underway. They arrive in Perth on Monday.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.