Celtic have plenty to distract them from yesterday's draw for the last 16 with Ross County visiting Parkhead tomorrow and Clydesdale Bank Premier League games against Dundee, Hibernian and Motherwell following in the subsequent 11 days.
The Italian champions visit Parkhead for the first leg on February 12 and Brown will try to put that game out of his mind following the initial excitement of the draw.
The 27-year-old said: "We have six or seven weeks so we need to focus on that and not really worry too much about this Champions League. We will wait for that to happen when it comes around.
"There are always injuries and places up for grabs as well. No-one is guaranteed a game. Every day in training the lads look forward to it.
"That's the main thing, giving 100% at training so we go into games looking sharper and fitter."