Aligning with global and national goals, including Sweden's aim for full open access to research data by 2026, Lnu is implementing a two-year project focused on applying the FAIR principles—making research data Findable, Accessible, Interoperable, and Reusable. To support this transition, Linnaeus University established a Research Data Support Unit within its library already in 2019. Initially limited in resources, the unit aims to identify the necessary services to assist researchers in overcoming challenges related to open research data (ORD) publication. An online survey was conducted to gather insights on current ORD practices among faculty and PhD students, covering demographics, awareness of ORD journals and repositories, and barriers to data sharing. The survey received 227 responses (17.21% response rate), revealing a mix of familiarity with ORD practices across disciplines. While 57% of respondents indicated that their fields encourage open data sharing, many were unaware of journals that mandate such practices. A quarter of participants had previously published open data in a range of data repositories and journals. The findings highlight significant discrepancies in ORD practices among disciplines, with some fields actively supporting data publication while others lagging behind for various reasons. While some respondents cited compliance with journal requirements and support for open science as reasons for sharing their data, many remained hesitant. A significant 75.3% had not published ORD, often due to ethical concerns, lack of support, uncertainty about data generation in their research, time constraints, and perceived lack of recognition for data publication. However, many participants whose research does produce research data indicated a willingness to publish data in the future, subject to adequate support and training. Suggested training formats included short videos, webinars, and hands-on workshops, reflecting varied preferences based on researchers' familiarity with ORD. Feedback on the Research Data Support Unit's services included need for individual support, enhancing the webpage with a number of topics, as well as navigation and search functionalities. A sine qua non condition for driving open research data forward seems to be establishing research ethics advisory services as part of the Research Data Support Unit. General sentiments expressed support for open science initiatives, but underscored the necessity of aligning research demands with disciplinary contexts and emphasized the need for proactive engagement with researchers at subject, departmental, faculty as well as university levels. The identified differences between research subjects and disciplines need to be taken into account, as some research subjects do no produce data, while others have fully implemented infrastructures for data sharing and fully evolved culture of data sharing. Also, there are research outputs other than data that are important to share, such as software, tools, databases which also need to be taken into account when developing the Research Data Support services and training.