Swimming is the only sport providing lifesaving skills, reducing the risk of death by drowning, a top cause of deaths in children aged 1–14 years. Research shows swimming amongst other sports can aid fundamental movement skill (FMS) development. Therefore, this review investigated the following: (1) how swimming impacts FMS development in children aged 3–11 years, (2) successful tools assessing swimming and FMS, and (3) recommendations appropriate to the UK curriculum based on findings of this study. A systematic literature review using Google Scholar, PubMed, and SPORTDiscuss was conducted to investigate the effects of swimming on FMS development. Methods included database searching, finalising articles appropriate to the inclusion and exclusion criteria, and identifying relevant articles using the Preferred Reporting Items for Systematic Reviews and Meta-Analyses. The Mixed Methods Appraisal Tool assessed data quality and bias risk, whilst thematic analysis synthesised data alongside descriptive results. Ten papers were synthesised, identifying significant positive impacts of swimming on FMS, including significant pre–post testing (p < 0.01), significant improvements compared to other sports (p < 0.001), and significant improvements in specific motor skills (Balance; p = 0.0004). Future research specifically addressing swimming and FMS is essential to improving the curriculum.