A user equipment UE reports its mobility state in signaling for establishing, re-establishing, or re-configuring a radio connection between the UE and a network access node. In one embodiment the reported mobility state is selected from among normal; medium and high. In another embodiment the reported mobility state informs of a number of cell changes the UE has performed within a predetermined evaluation period. The UE may also include an indication whether a hysteresis period for entering into a normal mobility state is running for the UE. The network configures the UE in dependence on the reported mobility state, such as setting a parameter for measuring or reporting neighbor cells (e.g., suspend a serving cell quality threshold as a condition for measuring/reporting; limit inter-frequency and/or inter-radio access technology reporting; set a shortest measurement, reporting gap; disable an event trigger; and/or set layer 3 filtering of measurement results for faster reporting).