Processing implemented by a method and apparatus herein advantageously addresses degradations to the quality of reference signal measurements and/or to the quality of serving cell data reception that would otherwise result from a wireless device (36) measuring different cells' reference signals over different bandwidths. The processing addresses these potential degradations by intelligently configuring the bandwidth over which different cells actually transmit reference signals. In this regard, the processing includes identifying (100) the cell bandwidth of each cell in a set of cells that transmit reference signals likely to be measured during a given measurement session of a wireless device (36). Processing then entails selecting (110), as a function of the cell bandwidths, a reference-signal bandwidth over which reference signals are to be transmitted from at least a subset of the cells in the set. Finally, processing includes configuring (120) at least each cell in the subset to transmit reference signals over said reference-signal bandwidth.