The Gunners are desperately trying to land Tierney before next month’s transfer deadline.
But their recent bids have been rebuffed by Celtic, who are said to value their captain at around £25m.
The Scottish outfit are said to be open to the idea of selling Tierney in the coming weeks if their valuation is matched.
However, Celtic boss Neil Lennon today has hinted that Aaron Wan-Bissaka’s recent £50m move to Manchester United could affect Arsenal’s fee.
“We can’t do anything about what clubs do in England,” he said.
“£50m for Wan-Bissaka is a lot of money and we feel that Kieran is a far more experienced and rounded full-back at this juncture in his career.
“He’s an asset for us and we do have a value for the player and we rate the player very highly.
“So disrespectful is the wrong word but we’re certainly not going to be pushed over in any negotiations and we’re in a very strong position with regards to a number of our assets in the team.
“The club’s valuation of Kieran has not been met and until then we don’t have a discussion.”
Tierney is out of action at present after undergoing a hernia operation.
Lennon has offered an injury update on the player, who is close to returning to training.
“He’s a great player, a great talent,” added Lennon.
“At 22, he’s already achieved a hell of a lot and he has so much more to give to the game.
“He’s our player. He’s on a long-term contract. While it’s a backhanded compliment for all the hard work people here have done over the years with Kieran, we don’t want him to go.
“Some of the players who have left here in the last few years have gone on to do all right in the English Premier League. We think we know what we’re doing in terms of developing players.
“But we don’t want them in the Premier League, we want them here with us playing in the Champions League.”