Mhm...just my guess but since this is all about overcoming the limits of the human body and mind I don't think so. Because Saitama already surpassed those limits and even seems to be limitless, at least at the current point in this story.
One thing I can imagine is that the Monster Association will try to convince him to fight for their side, when they find out about his strength. But...we all know Saitama right...? And what will happen in this case... x)
Although the translation says "monster cells," I have a feeling these are more likely to be "engineered organic material" rather than actual parts of a monster. Probably something the Monster Association cooked up to help increase their numbers? Or perhaps this is simply how monsters procreate? Great, they might be eating sperm... (⊙…⊙ )
i just came to a realisation.....we all know that saitama has no issue with eating some of the monsters he kills, so does that mean that if he ever had ended up eating it raw that he would have turned into a monster too???? Σ(っ°Д °;)っ