Finding and choosing the right supervisor is an essential task for students about to embark on a PhD program. In this paper the authors discuss the students' and supervisors' expectations of professional supervisor-student relationships. Students will expect that their supervisors guide them in a customised/tailored way; are available when needed; are open, supportive, reliable, trustworthy, clear in the relationships, and friendly; are constructively critical; have a good knowledge of their research area; structure tutorials so that ideas can be exchanged relatively easy; have sufficient interest in their research; and are sufficiently involved in their success to help them get a good job. Supervisors will expect that their students are independent and interested in the research; produce work that is more than a first draft; report all relevant issues when discussing the research with them in regular meetings; and follow the advice that has been agreed upon in a meeting. Throughout the paper the authors draw upon their own experiences as students and later supervisors.