The striker played down the possibility that the Bavarians - who he is expected to join in the summer - already have the league in the bag
Pep Guardiola's men are four points clear of second-placed Bayer Leverkusen, while the Schwarzgelben sit seven points adrift of the league leaders having lost twice domestically in November, including a 3-0 defeat to the Bavarians.
The striker, who is expected to leave Signal Iduna Park for the Allianz Arena in the summer, played down suggestions that the reigning champions can already crown themselves as winners again and has hope BVB can storm up the table.
"It is too early right now to hand out the title," Lewandowski, 25, told Bild ahead of Dortmund's DFB-Pokal clash with third division side Saarbrucken on Tuesday.
"It may still be that Bayern have a little crisis as sometimes happens [to teams at the top]. I have not lost hope at all, in any case. But we must see to it that we win our games."
Lewandowski is expected to leave Dortmund for Bayern when his contract expires in June 2014, but he appears determined to leave on a high and currently tops the Bundesliga goalscoring charts with 11 goals.
"Of course I would like to finish top scorer," he added. "But the important thing is that as a team we have success."
Looking ahead to Dortmund's final Champions League group game on December 11, the Poland international believes their 3-1 victory over Napoli has given them the edge as they know that a win over Olympique de Marseille guarantees them a place in the last 16.
"After the Napoli game, we hold the advantage," Lewandowski mused. "Our progress is back in our own hands.
"But it would be fatal for us to take Marseille lightly. Although they have taken zero points from the group, in most games they have only just been defeated. This again will be a tough tie."