In recent years, terrestrial gravitational-wave detectors such as LIGO and Virgo proved to be very useful tools for detecting binary black hole systems and their collisions. This improved our understanding of astrophysical black holes and provided tests of general relativity. However, the next generation gravitytional-wave detectors, such as space-based LISA, will be able to detect even more signals from many different types of sources, thus deepening our understanding of the universe and testing general relativity in extreme regimes. A particular type of sources are extreme mass ratio inspirals. They consist of a stellar-mass black hole or neutron star orbiting a supermassive black hole. The small body is inspiralling into the primary while radiating gravitational waves. For their detection, we need accurate waveform templates. In our work we study the influence of the rotation of the small body on the gravitational waves, since it is essential part of the waveform.