Third-placed Frankfurt are level on 20 points with Schalke 04, seven behind Bayern, who have won nine of their 10 league games in a scintillating run so far.
Eintracht coach Armin Veh, no stranger to the big time after steering VfB Stuttgart to the 2007 Bundesliga title, said his players knew what they were up against but were entitled to think big.
"It is important to allow dreams," Veh told Bild newspaper. "It is also possible to achieve things with less money. There are times you have to believe in yourself."
"Teams will be more physical now and we have to adapt to that but I do not want to change our style one bit."
The Bavarians have a multi-million-euro squad that does not compare to Frankfurt's much cheaper line-up.
"[Bayern's Javi] Martinez cost 40 million euros to buy and probably gets 10 million euros a year," said Veh.
"With the 50 million of just one Bayern player we could finance our entire team for two seasons, so the chances are not really equal."
The Bavarians are also brimming with confidence following their 6-1 demolition of France's Lille in the Champions League on Wednesday and a 3-0 win at Hamburg SV last week.
"They should have respect for us but we also have respect for Frankfurt," he told reporters. "They are playing a great season and we will have to do everything possible to maintain this wonderful lead we have."
