In a probably vain attempt to knock Sinclair's reputed £10m price tag, Thompson said: "Trevor Sinclair is a player we have looked at for a long time.
"He's one of a number of players we keep our eye on and one who has been in our thinking, but the money West Ham want makes him a player who is not on our list.
"We have to spend money wisely, and I think at the price West Ham want, that's silly - he's not on our list because of that."
And what is the Liverpool acting manager attempting to acheive by announcing this to the country? One can only assume that he is trying his hardest to knock the price down.
Trevor himself claimed just last week that he was overpriced, and the main reason for him wanting to leave West Ham was getting into the England team for the World Cup:
"The club know my stance," he said. "If I want to be involved with England in the World Cup I have to be playing for a club where I can raise my standards.
"Unfortunately, the club are making it virtually impossible for me to do so. They have said they would allow me to speak to any club which matches their valuation - about £10m.
"But I believe the fee they are asking is unfair. I would like to see them lower it. Then it would certainly make it easier for me to go."
With both Newcastle and Sunderland all quiet on the Sinclair front recently, it would seem that unless Liverpool want to amend their offer, Trev is staying in the true Claret 'N' Blue for the foreseeable future.