The 30-year-old has belief but knows the Bhoys face a 'massive' test.
Indeed, the Bhoys skipper is under no illusions when it comes to how big the upcoming encounter against Ajax will be.
Brown knows Celtic need to win both of their last two group games but believes the Scottish champions can achieve the feat.
Celtic host Ajax at Parkhead before traveling to Fenerbahce for their final fixture of Group A.
SB: When it comes around, the Ajax game will be massive. We know we need to win our last two Europa League games and I believe we can do it.— Celtic Football Club (@celticfc) November 19, 2015
Ahead of the crunch clash - and the Bhoys' upcoming domestic matches - a number of struggling stars need to pick up their form. Stefan Johansen has been out of sorts for both club and country.
Celtic's defence has been all over the place, while those up front also need to help out Leigh Griffiths more.
If the Scottish champions can pull through this tough situation, it will certainly be a comeback to remember for years to come. The way they've been playing in Europe, though, doesn't exactly promise anything exciting.
This weekend, Celtic will host Kilmarnock in the Scottish Premiership.