If robot systems are being deployed in real world settings with untrained users who happen to accidentally pass by or could leave at any moment in time, then this places specific demands on the robot system: it needs to secure and maintain the user's engagement. In this, a common and critical problem consists of entering into a `focused encounter'. It requires each interactional partner to closely react upon the other's actions on a very fine-grained level engaging in a stepwise and dynamic process of mutual adjustments. We report initial findings from a study in which we have developed a preliminary, simple solution to this problem inspired by work from Conversation Analysis. Using this as an instrument to explore the impact of a `contingent' (CE) vs. `non-contingent entry' (NCE), we find that users who enter into the interaction in a dynamic and contingent manner show a significantly different way of interacting with the robot than the NCE group.