The Scotsman says Celtic have lodged a bid of around £1 million for Robson. However, Tannadice chairman Thompson has made it clear he values his in-form captain higher than this and is confident in his ability to play hard-ball due to a number of southern suitors who look set to meet his valuation of the player.
"Celtic contacted me about Barry before the Old Firm game on 2 January, which was eventually postponed," he said. "But I haven't heard from them since, although their chief executive Peter Lawwell is a wily negotiator and it wouldn't surprise me if they came back in again.
"A £1 million offer wouldn't satisfy me, that wouldn't be enough.
"We've had offers for Barry but we've turned them down and I'm expecting more bids from south of the border on Monday morning.
"I want Barry to be happy in his football but he'll only go for the money we think we deserve."