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Leader-based protocols rest on a primitive able to provide the processes with the same unique leader. Such protocols are very common in distributed computing to solve synchronization or coordination problems. Unfortunately, providing such a primitive is far from being trivial in asynchronous distributed systems prone to process crashes. (It is even impossible in fault-prone purely asynchronous systems.) To circumvent this difficulty, several protocols have been proposed that build a leader facility on top of an asynchronous distributed system enriched with synchrony assumptions. This paper introduces a novel approach to implement an eventual leader protocol, namely a time-free behavioral assumption on the flow of messages that are exchanged. It presents a very simple leader protocol based on this assumption. It then presents a second leader protocol combining this timeless assumption with eventually timely channels. As it considers several assumptions, the resulting hybrid protocol has the noteworthy feature to provide an increased overall assumption coverage. A probabilistic analysis shows that the time-free assumption is practically always satisfied.