Brendan Rodgers's side are at the top of the Scottish Premiership table at the moment with 58 points from 20 matches, 19 points clear of Rangers, who have played a game more.
But the Celtic manager says his side have the experience to cope under pressure and insists the Hoops will be aiming for their 15th straight victory in the league. Even when they aren't playing well, they're finding enough to see off their opponents.
"We've got to try and continue our undefeated run for as long as we possibly can, but it wouldn't be the end of the world", Brown said when asked if a defeat would take the shine off Celtic's start to the season.
The pace had been frantic during the first half but was just as quick as the action restarted after the break. I just slipped when the second goal went in.
We had the Swansea-Cardiff game when I was there and we won 1-0, which was one of the first times they'd beaten Cardiff away for a number of years. "We understand the significance and the importance and the emotions involved in this game, and there is no doubt it will be a pleasure to deliver the type of performance that delivers the three points".
"That was game five of the season - we've moved on from there", the 54-year-old told his pre-match press conference, as reported in The Guardian.
"We arrive into the game knowing that we average three goals away from home in the league so far, so it all points to us going into the game with a big confidence, but we understand and respect that it's a hard game".
But the draw with St Johnstone on Wednesday night wasn't the preparation for the Celtic game that Mark Warburton would have been hoping for.
"And, of course, I'm delighted with the opportunities that the players have taken since I've come in here to be better and to improve".
"I thought it was a brilliant result for us, a real great advert for Scottish football", said Rodgers after the thrilling Old Firm clash.
"Equally, it was disappointing to lose the goals the way we did".
Mark wanted the side to be more physical against St Johnstone and that is why he went with a back three but I think it will be the familiar 4-2-3-1 tomorrow.
"But he knows they are saves he should be making from that distance".
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