Signaling is received (or transmitted) to configure a UE with multiple transmit beams, each for receiving beam-specific DCI. A beam-specific current DCI is received at the UE (or transmitted from a network) on the transmit beam(s), including information about beam-specific previous DCIs transmitted to the UE on any of the multiple transmit beams within a predefined time window preceding a time unit in which the current DCI was received. Information about the beam-specific previous DCIs is used to determine that at least one of the multiple transmit beams has been blocked. Each of the multiple transmit beams that have been determined to be blocked is reported to (and received by) the network. In response to receiving from the UE a report indicating at least one multiple transmit beams has been blocked, the network reconfigures the UE with a different set of multiple transmit beams each for beam-specific DCI.