Self-fertilisation and asexual reproduction are both hypothesised to lead to long-term extinction due to inefficient selection acting against deleterious mutations. Self-fertilisation can counter these effects through creating homozygous genotypes and purging deleterious mutations. Although complete asexuality lacks meiotic gene exchange, mitotic gene conversion is a mechanism for creating homozygous regions that could limit deleterious mutation accumulation in a similar manner to self-fertilisation. Here, we compare mutation accumulation in self-fertilising and facultative sexual populations subject to mitotic gene conversion, and quantify the relative efficacy of purging caused by the latter. We first show analytically that this purging is most effective with high levels of asexuality and gene conversion, and when deleterious mutations are recessive. We further show using simulations that, when mitotic gene conversion becomes sufficiently high in obligate asexuals, there is a sudden reduction in the mutation count and a jump in homozygosity, reflecting mutation purging. However, this mechanism is not necessarily as efficient at purging compared to high levels of self-fertilisation, and elevated rates of mitotic gene conversion seem to be needed compared to empirical estimates. Hence, while mitotic gene conversion can remove recessive deleterious mutations, self-fertilisation seems to be a more effective mechanism for doing so.