Drones are entering the maritime sector and have successfully increased safety and security. They can effectively replace humans, and where life and health are at risk during operations such as tank or hull inspections, they can be used in a fully remote capacity. They are used to transport spare parts, documents, medicine, etc. between land and ships at sea or on the roadstead, which may increase safety during the COVID-19 pandemic. Drones can control traffic and the emission of pollutants from ships, detect pirates, monitor areas, and support operations. They are used in search and rescue missions and also provide modern technologies like 5G and others. Drones are reliable and effective, and their use minimizes costs and reduces time. This paper presents a current review of the state of knowledge on the use of drones in the maritime sector. It takes into consideration the opportunities of their utilisation and presents possibilities and examples of successful drone exploitation by various entities such as classification societies, shipyards, search and rescue (SAR) missions, and others. The benefits and limitations and a roadmap for drones in shipping are also analysed. An application forecast for the Polish maritime sector in the West Pomeranian and Pomeranian Regions is also delivered in the paper. Desk research methodology was used to review the literature to identify the set goals by analysing literature reports, articles, and materials published by beneficiaries using drones successfully, as well as inquiries and market offers.