A literature review was conducted to present if travellers accept the mobile healthcare (m-Health) technologies. The research was run on international scientific databases using certain keywords to cover the content of the review. From the online search results, 21 publications were selected which combine the "m-Health", "travellers" and "technology acceptance" topics. The majority of the papers are using the Technology Acceptance Model (or a variation of it) on their methodology. Only few papers discuss about the above three topics simultaneously. All of the publications highlight the acceptance of the mobile technologies by their users. Based on this, it can be assumed that travellers may accept the m-Health applications. Further investigation is needed on this subject to give more accurate results.