At a network node, positioning assistance data blocks are determined to be requested to be broadcasted by a base station to a UE for use by the UE in calculating a position. A message is sent toward the base station with positioning assistance data blocks and corresponding information indicating to the base station that the base station is to admit or not admit for broadcasting positioning assistance data block(s) in response to insufficient resources at the base station to broadcast all the blocks. Indications are received of success or failure of broadcasting the positioning assistance data blocks, the success or failure based on the base station's admitting or not admitting, respectively, the positioning assistance data blocks. The base station determines which positioning assistance data blocks should be admitted or not admitted for broadcast and either broadcasts the admitted ones or does not broadcast the non-admitted ones.