(1) Background: Colorectal cancer (CRC) is a serious health problem in Poland as well as many European Union countries. The study aimed to describe factors that, from the patient’s perspective, could increase the attendance rate and regularity of participation in the colorectal cancer screening programme (SP); (2) Methods: The qualitative approach was applied. The study involved six focus interviews conducted with 24 respondents (12 women and 12 men) aged 40–49, who had at least one first-degree family member diagnosed with CRC and persons aged 50–65, living in five selected voivodships (provinces) of Poland. The collected data were thematically coded. Further, a comparative analysis was conducted, and aggregated statements were formulated; (3) Results: The inclusion of primary care clinics within the CRC SP organization was reported as a key factor in improving the attendance rate and regularity of patient participation in the programme. Particularly important factors included an invitation in the form of a personal letter or a phone call made by staff from primary care clinics; (4) Conclusions: Patients were confirmed to have clear expectations and preferences for the organizational conditions of the CRC SP. Preferences nature allows them to be treated as one of the potential criteria for selecting critical parameters of CRC SPs.