Attacks have always been conducted upon systems to bypass security layers and access sensitive data. Attacks can be intentional - performed with the explicit intention and awareness - or unintentional - performed as a result of improper data manipulation. In steganography, an important unintentional attack is represented by compression. Within this paper, we analyze steganalysis methods and image compression algorithms alongside their means of affecting input images to study challenges and dilemmas for image steganography in context of data compression. This study represents yet another fundamental step to develop a feasible and robust steganographic scheme with application in insecure network communication.