The Bavarian giants open their league campaign at home to Wolfsburg on Friday, but have been hit by several injuries on the eve of the campaign.
Javi Martinez [knee] and Rafinha [ankle] are Bayern's latest players to be struck down by injury, while Thiago Alcantara and Bastian Schweinsteiger [both knee] are still sidelined.
But Lahm, who is excited ahead of the club's season-opener, is positive that coach Pep Guardiola has enough strength in depth to cope.
When quizzed who would be Bayern's biggest rival, Lahm said: "I'd have to say Dortmund again.
"They've made a stable impression these past years.
"The Bundesliga opener is something special. It kicks off a long season and we want to be standing there with the trophy again at the end.
"[Despite the injuries], we still have a very strong squad and can measure up to everyone in the league."
Bayern have strengthened their squad in the close-season with the signing of striker Robert Lewandowski on a free transfer from Dortmund.
The former Dortmund forward has scored 74 goals in his 131 Bundesliga appearances.
