St Johnstone manager Derek McInnes believes Rangers will have to up their "ridiculous" offer if they are to have any chance of signing Murray Davidson.
McInnes was talking to BBC Scotland after the midfielder had impressed in Saturday's 0-0 draw at Aberdeen.
"I had to look twice at the offer," he said. "It's way short of our valuation.
"Two days before the kick off, the bid is not welcome. If they come back, they should play the game and not be so ridiculous with their offer."
Murray turned in a typically combative performance in the stalemate at Pittodrie and was on hand to make a vital defensive clearance in the second half.
"People asked if I was contemplating not playing Murray and I said 'never in a million years'," McInnes explained.
"The boy is so quietly confident and assured. He's a real competitor and I thought he was outstanding again today.
"His move will come, whether it's this window, the next one, whenever, because he's too good a player."
A lack of goals was St Johnstone's problem last season and again the Perth side failed to pose much of an attacking threat at Pittodrie.
"It's a decent point for us, away from home against an Aberdeen side that much is expected of," added McInnes.
"In the first half, they had us on the back foot but I thought we dealt with it comfortably, in the main.
"It was a very difficult game for the players because the conditions were awful.
"We're in the middle of July and the wind was horrendous.
"We're all advocating summer football but nobody's told Aberdeen about the summer!
"Because of the conditions, it looked like it could possibly be decided by a mistake.
"There was anxiety for both teams and plenty of incidents but there was a wee lack of quality and cutting edge from both teams in the last third."