Hoops boss Neil Lennon said Brown is still not fully fit so it was wise to leave him at home so he could prepare for Sunday's massive Old Firm derby with Rangers at Ibrox.
"For Scott to have any chance of playing on Sunday, then it is just as well to leave him at home," said Lennon.
"You saw what he gave to Scotland playing in the 4-5-1 system against Czech Republic. He likes that role and has qualities there in terms of his athleticism, reading of the game and getting the ball back.
"You always take on board the medical opinion when you are assessing whether anyone should play in any game, but our priority is the championship and we have a huge game coming up on Sunday."