The Celtic captain is being linked with a move away from Parkhead.
The legendary 33-year-old midfielder is linked with a move to A-League side Western Sydney Wanderers [The Daily Mail].
Many fans of Scottish football believe that it might be time for the Celtic captain to move on.
Callum McGregor has taken his place in recent months and Brown's performance against Rangers prior to the winter break suggests that his best days may be behind him.
That being said, the no-nonsense Scot, whose contract at Parkhead expires this summer, has silenced his doubters plenty of times in the past; so much so that Brown, at the age of 32, won a number of end-of-season individual awards last term.
And the Hoops legend feels that 'Broony' remains almost abnormally-committed to the cause in Glasgow.
"He's the captain, he's going to be there. He's been written off before, he'd one bad game against Rangers a couple of years ago and he was finished, and he came back," McAvennie told Herald Scotland.
"He never misses training or a game so he'll be there. He's a catalyst for the manager. Most normal people take days off but Scott Brown won't. It'll be snowing and he'll be training in short sleeves. I'd have a coat on. None of this nonsense with tights on.
"He's a great influence in the changing room, Brendan will want him about and I don't think he'll go anywhere before the end of the season.”
Celtic's warm-weather training camp in Dubai will do Brown the world of good.
It gives him a chance to recover from a mentally-exhausting few months that was dominated by injury and speculation about his future, which can't have been easy.
And one would hope that when the Scottish game resumes later this month, he'll be in fine shape to remind his detractors that there's life in the old dog yet.