Bayern Munich general manager Uli Hoeness admitted his side were lucky to beat Karlsruhe on Saturday, but welcomed a result which may signal a change in fortunes.
A Miroslav Klose goal three minutes from time earned the defending champions only their third win in eight league matches so far this season.
It did not move them any higher up the table, but with most of the clubs above them also victorious, it was crucial to remain in touch.
"In the end, it was a touch fortunate," admitted Hoeness. "But that is what we need right now - luck.
"Now things are moving upwards. Given the other results, it would have been fatal not to have won."
The win lifted a bit of the pressure from coach Jurgen Klinsmann ahead of a busy period of fixtures.
On Tuesday, they host Fiorentina in the Champions League while they have three more Bundesliga fixtures in less than a fortnight before travelling to Florence for their fourth European game.
With only four points currently separating Bayern from the league's summit, a lot could change over the next two weeks.
"It was important to win to enable us to relax a little," said a relieved Klinsmann. "This win is certainly welcome."
The only worrying sign was that of Luca Toni leaving the field in the 40th minute with sore ribs. However, the Italy international should be fit enough to face his former club on Tuesday.
Franck Ribery also limped out after an hour, but his withdrawal was a precautionary measure and he too should be available in midweek.