It was revealed last week that Keegan was being considered to take charge of The Saints should, as expected, Le Tissier's Pinnacle Consortium succeed in their takeover at St Mary's.
Le Tissier has admitted talking with Keegan - but insists he is just one of a number of names he had talked with.
"Kevin is not the only one I have sat down and talked to, I have sat down and talked to a lot of my contacts in the game," he told Sky Sports News.
"We need to clarify the manager's position and we will look at that, I have spoken to a lot of people and taken a lot of advice and when the takeover is complete we will sit down and talk about it.
"For me this is a new job and I need to gather as much information as I can and there is several other people I have spoken to and no decision on a new manager has been made.
"Unfortunately Kevin was pictured, and the papers got hold of it and everyone put two and two together."
The Football League are set for an emergency meeting on Monday to discuss Pinnacle's bid, with one of their conditions being that they have the right to appeal against a ten-point penalty they are currently due to start next season with after the club fell into administration last season.
But the Football League are determined that Pinnacle agree to start next term with the penalty in place and they will not try and appeal the ruling.
"Issues have cropped up, we are a still very much in the running and determined, and we think it is in the best interests of the club," he continued.
"This is a great way to put something more back into the club and hopefully get us back one division and if all goes well even the Premier League."