Celtic will then take on Aberdeen on Sunday in the League Cup final at Hampden Park and Rodgers is determined to win both games.
RB Leipzig are also on six points in Group B but with a better head-to-head record than Celtic. Should Celtic and Salzburg each prevail on Thursday evening, the Hoops would require only a draw against the Austrian side when the pair meet in the final match in the east end of Glasgow on December 13.
"We want to go into our last game at Celtic Park with an opportunity to qualify and if we get a victory tomorrow night then we have an opportunity to do that".
Tom Rogic picked up an injury on worldwide duty which kept him out of Celtic's easy 3-0 win over Hamilton at the weekend.
"We understand and respect Rosenborg and that respect has grown".
"So we know it can be a hard game for us and that is what we will prepare for".
Coach K tells Duke fans to 'cut it out' with criticism
Their last championship came in 2015, and the team was 35-4 overall and 15-3 in conference. "We lose, I'll lose with them". My kid wasn't playing hero ball, he was playing winner's ball. "I'll go to war with my guys".
Speaking at the Lerkendal stadium, he said: "It's not something I can worry too much about".
The Celtic manager has told his players there are no easy games at this level and to go out there and earn the right to play and win.
"It is totally different stages of the season, with different objectives".
Brown has not played since limping off during the 4-2 win over Hibernian in October while Rogic had a knee problem but both trained at Celtic Park before the squad flew out to Trondheim on Wednesday afternoon.
We have to seriously consider the Cup Final, which is just a few days after we play Celtic. What is important with Scott is that he's back and available again.
"He is a big player, as is Scott, the most important thing is both are available and ready to play if required".