Germany international Marcell Jansen was ruled out for six weeks with an ankle ligament injury he picked up against Chile on Wednesday, joining Pierre-Michel Lasogga in the treatment room.
Slomka is therefore counting on his side's fans to act as an extra man in this, their first of two successive home matches.
"We're not going to start grumbling," Slomka said at a press conference. "With our fans behind us, we still go into this home game positively."
Hakan Calhanoglu and Ivo Ilicevic have both returned to training, but Rafael van der Vaart may miss out due to a virus.
Of the Dutchman, Slomka said: "He's feeling far better than he was yesterday, but he needs to go at least 24 hours without any fever for us to be able to test him.
"When players miss out, it's always an opportunity for somebody else. They can show what talent they've got and what an important role they can play for the club."
Eintracht Frankfurt's players no longer need to prove anything to their coach Armin Veh, on the other hand.
He announced earlier this week that he will be leaving the club when his contract expires in the summer, leaving him now with just 10 games remaining as Frankfurt coach.
It has also been reported that he has suggested who should replace him next season, with former Stuttgart and Hertha Berlin coach Markus Babbel currently leading the list of candidates.
"We have two or three names in our heads," said Frankfurt's director of sport Bruno Hubner.
"From this small group, I will pick my preference. What matters is that the new coach speaks German well and that his and our philosophies agree.
"Veh has not recommended Babbel, he has just given us the lowdown on him."