The importance of entrepreneurial activity for a country's economic and social growth has long been recognized. There are strong and positive relationships between higher education, venture creation, and entrepreneurial performance, as well as a strong link between entrepreneurial education and entrepreneurial intention, according to the research. The aim of the present study is to give some insights on entrepreneurship education in general, as well as on other important associated variables, explaining their impact on entrepreneurial intention. We also aimed to investigate the impact of gender, father’s occupation, tutors/educators, the social environment of students (such as peers) and level of studies on the intention of individuals to be entrepreneurs. The research was conducted on 82 business administration students from two Greek universities through an online survey. The findings revealed that the family environment, particularly the father's occupation, had a significant influence on students' entrepreneurial mindset and intention, as well as their social environment and the support they receive from it. We observed that the level of appreciation was higher from friends and people they admire rather than their family as probably they take for granted their family support. Also, it was found that there is a difference on the level of entrepreneurial intentions based on gender, and level of education with males and undergraduate students to show greater intention in comparison with the females and master ones. Entrepreneurship education was also proved to have a positive impact on entrepreneurial intention of participants.