(1) Background: Cancer patients are experiencing psychological problems after diagnosis, such as emotional distress and social anxiety, which may increase their demands for emotional and supportive care. This study aimed to assess the influence of both emotional distress and concerns on the supportive care needs of cancer patients receiving home-based healthcare. (2) Methods: In this door-to-door screening program, 97 cancer patients were approached, with a mean age of 73 years old (mean = 73.43; SD = 6.60). (3) Results: As expected, 42.3% of patients highlighted their treatment as their main psychological priority, with 20.6% identifying concerns about the future of their family in this regard. No significant associations with respect to sex were identified in terms of focus, though females reported the need for more frequent psychological support (58.7% vs. 37.3%, respectively, p = 0.035) compared to males. Patients who had experienced an increased number of concerns during the last weeks (IRR = 1.02; 95% CI: 1.00–1.03, p = 0.007) had a significantly greater risk of presenting an increased rate of supportive care needs. Notably, male patients with bone cancer presented a significantly greater number of supportive care needs (mean rank 45.5 vs. 9.0, p = 0.031) respectively, in comparison to those with other types of cancer. (4) Conclusions: Supportive care needs arise from a greater concern and specific type of cancer, highlighting the need for supportive care, such as psychosocial and psychological support. This may have significant implications for treatment and patient outcomes in home care settings.