Method by a communication device (120) for managing beam coverage. The device receives and evaluates (201) first reference signals transmitted by a network node. The first reference signals are comprised in first beams. The first beams are static or semi-static. The receiving and evaluating is according to a first state, wherein the device refrains from reporting back about the first reference signals. In response to the conclusion that all of the first reference signals are too weak and/or of too low quality by comparison to a threshold, the device sends (202) a request to one or more network nodes (110, 111), requesting a certain procedure for providing, by beamforming, one or more second beams (127, 128) specifically to target the device. The second beams (127, 128) comprise one or more second reference signals. The device switches, to a second state. wherein the device actively participates in the provision of beam coverage and is in a battery-saving mode.