Brown has also said that he is confident that James Forrest will not leave Celtic in the summer transfer window.
Interest in James Forrest
It has been reported that the Russian Premier League club are ready to pay £12 million in transfer fees for the 28-year-old winger.
The report has also claimed that Zenit are prepared to pay the Scotland international a weekly salary of £70,000.
Celtic midfielder Brown - who has been on the books of the Bhoys since the summer of 2007 when he joined from Hibernian for a transfer fee reported by The Guardian to be worth £4.4 million - does not think that Forrest will leave the Scottish Premiership club this summer.
The Scotsman has also predicted interest in 20-year-old winger Johnston and 24-year-old midfielder Christie.
Optimism and prediction
Brown told The Scottish Sun: “Don’t get me wrong, it is great that people are looking at our players and willing to put in that sort of money. But as it stands just now Jamesy is a Celtic player.
"I am sure we will see a lot of bids coming in for him, Mikey Johnston and Ryan Christie too as they are top-quality players.
“But Jamesy has been here almost as long as I have and I’m sure he’ll feel the love of the supporters knowing that it will push him on.”
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