Cooperating nodes, and methods therein, for mobility procedures in a wireless communication system supporting UE groups. One of the cooperating nodes is a base station being associated with a UE group comprising UEs having correlated mobility related parameters. The method in the base station comprises receiving, from a first UE in the UE group, a mobility related parameter associated with the first UE. The method further comprises determining whether to initiate a mobility related procedure for a second UE in the UE group based on the received mobility related parameter; and further comprises initiating the mobility related procedure for the second UE when it is determined that the mobility related procedure is to be performed. Thereby, prediction and decisions related to mobility events, e.g. handover events, for the second UE or for the whole group may be performed e.g. before or without receiving any mobility information related to the second UE, thereby enabling early prediction and better preparation, which can lead to more robust mobility procedures.