The Celtic skipper reckons it can't just be left to the strikers to get the Hoops back into a tie in which they trail 2-0 from the first leg in Astana. It was defenders Charlie Mulgrew and Adam Matthews who got into the opposition's box and provided the two goals which saw Neil Lennon's team fight back from 2-0 down against Inverness at the weekend.
With Shakhter expected to sit deep to defend their 2-0 first-leg advantage, the front men are likely to find space at a premium.
That's why set-pieces, when the big men from the back can get into the box, will be so important, and why late runs into the area from midfielders could also be crucial in breaking down the Kazakhs.
Brown believes they will have to deploy all of their extensive armoury said: "Everyone is going to have to give a little extra in this game. Charlie did that at the weekend to get us back into it against Inverness, then Adam scored a great goal.
"We have players all over the team who can score. We believe we are good enough to do it tonight."
Brown's confidence is borne out by the facts - Celtic have won six of the seven qualifying and play-off ties played at Parkhead under Neil Lennon. The only blip came against Sion two years ago when the game ended goalless, but the Hoops were awarded a 3-0 victory after the Swiss side was thrown out.
They have not conceded a goal in any of their home ties since HJK Helsinki took the lead in their opening match of last season. In fact, until Shakhter hit two in Kazakhstan, the Hoops had kept clean sheets in seven consecutive qualifiers.
Brown accepts they must ensure Shakhter's prediction they will score another two tonight falls flat.
He said: "They will try to keep their two-goal lead for as long as possible. But we have got to play a lot better than we did over there - and this time take our chances."
Lennon will make a final check on the fitness of the players who returned to training after injury before he finalises his line-up.
He will look to see if Georgios Samaras, James Forrest, Anthony Stokes and Derk Boerrigter have suffered any reaction.
Kris Commons will also be given every chance to prove he has recovered from his groin problem after he did some running yesterday. But Beram Kayal has been sidelined for a fortnight with a groin strain.
Meanwhile, goalkeeper Fraser Forster has been called up for England's World Cup qualifiers against Moldova and Ukraine.