The Ligue 1 side are on the verge of exiting the Champions League at the quarter-final stage after goals from Mario Gomez and Arjen Robben condemned them to the loss at Stade Velodrome on Wednesday.
The defeat extended Marseille's winless run to nine matches in all competitions, putting more pressure on manager Didier Deschamps.
But Mbia said his side's loss to Bayern was the result of bad luck, and added they were capable of progressing to the last four.
"We were unlucky, just like the last game. I think if we scored in the first half everything would have changed. We are not lucky," Mbia said.
"I don't want to start talking about all the problems we have all over again.
"The most important thing now is to rest and go to Germany and try to get a result. I am pretty sure we can do it, seeing how we played today. I am sure we can do it."
Gomez opened the scoring in France after an error from Marseille goalkeeper Elinton Andrade, before Robben made it 2-0 with a neat finish.
Meanwhile, Marseille president Vincent Labrune said he was eager to address the concerns of the club's fans, who are becoming increasingly unhappy.
"There are a lot of problems now - the amount of games we play, the economic troubles in the city and these bad results from the last two months," Labrune said.
"It's quite difficult for them because they are not accustomed to seeing the club lose this amount of games in the last 30 years, so we can understand that.
"Tonight, we tried our best, we gave everything we had and we were close to getting a good result but still we lost. We are not angry with the supporters because they are always behind us."
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