Preston told the Daily Record: "It's all hypothetical at the moment because we don't know what Inverness are going to do.
"But I've heard of the speculation and what I would say is that I would not encourage any approach from Inverness for Alan. I've spoken to him and we've discussed it but we'll just have to wait and see.
"I was delighted, but also a bit surprised when Alan decided to join me in the summer because I know what a good coach and manager he is. I described him at the time as my best signing and I stand by that.
"But knowing him as I do I'd be very surprised if, in the event of the Inverness job being offered, he chose to go.
"He is quite settled here and he's just bought a house in the Livingston area, so I wouldn't expect him to up and go.
Picture shown copyright Livingston FC www.livingstonfc.co.uk
& used will full permission (in writing) of Livingston FC
& used will full permission (in writing) of Livingston FC