Richards resigned from his post in August following the 'Bloodgate Affair' which later saw him handed a three-year suspension from the game.
Quins have since kept faith with coaches John Kingston, Tony Diprose and Collin Osborne, all of whom were at the club under Richards, but speculation has been rife that McGeechan will eventually be asked to take over at The Stoop.
"Harlequins are probably getting sorted out what they want," McGeechan told Sky Sports News.
"There has been no contact and no conversations."
Instead, McGeechan is considering a variety of options open to him after ending a long association with London Wasps earlier this year.
The 1974 and 1977 Lions Test centre has already embarked upon a fresh business adventure and he admits he could well move in that direction in the lead up to the 2013 tour of Australia.
McGeechan has expressed a desire to be involved with the next Lions adventure Down Under but he has made it clear that any position would not be a coaching role.
"I have been doing some business coaching, which I have quite enjoyed," added McGeechan.
"I hope to be going forward with one of the current Lions sponsors over the next four years in a quite exciting role, which is linked to a little bit of rugby coaching and also business."