International audienceGalaxy clusters can play a key role in modern cosmology, provided their evolution is properly understood. However, observed clusters give us only a single timeframe of their dynamical state. Therefore, finding present observable data of clusters that are well correlated to their assembly history constitutes an inestimable tool for cosmology. Former studies correlating environmental descriptors of clusters to their formation history are dominated by halo mass–environment relations. This paper presents a mass-free correlation between the present neighbour distribution of cluster-size haloes and the latter mass assembly history. From the Big Multidark simulation, we extract two large samples of random haloes with masses r...