The EXAFS spectrum of two samples of RuSr2GdCu2O8 prepared by means of slightly different procedures was measured in the temperature range from 10 up to 300 K on the K-edge of Cu. Both the basal and the apical Cu–O distances are not influenced by the magnetic and the superconducting transitions. Moreover the temperature dependence of the Debye–Waller factors of the R(Cu–Obasal) distance for both samples is in agreement with the Debye model for thermal disorder. On the contrary, σ2(Cu–Oapical) shows a clear peak around the magnetic transition. This effect is attributed to magnetoelastic coupling.