Germany go into the tournament as one of the favourites, but a 5-3 defeat to Switzerland a week ago and a far from impressive 2-0 win over Israel in midweek has dampened some of the enthusiasm ahead of tomorrow's flight out to Poland.
Germany also lost to France earlier this year and have made it clear that their priority at Euro 2012 will be to come through a group which includes Holland, Portugal and Denmark.
If they fail to manage that, though, Low will not be made to pay, according to the German Football Association's technical director Matthias Sammer.
"The outcome surely could not be so catastrophic that the high-quality job that Jogi has done over such a long period of time can be seen in a different light without success at the European Championships," he told Focus magazine.
"In the event of that happening, we would just have to go through a difficult phase with this national team coach."
Low has been in charge of Germany since Jurgen Klinsmann stepped down after the 2006 World Cup.
Germany finished runners-up at the 2008 European Championship before coming third at the World Cup in South Africa two years ago, ensuring they are once again regarded as one of the contenders for the title in Poland and Ukraine this summer.