Following the program for finite translation planes to construct such planes from collineation groups in the translation complement a search for non-Miquelian Laguerre planes of odd order is initiated. In this note finite Laguerre planes of order p2, p a prime, are investigated. If such a Laguerre plane L, admits a circle-transitive elation group and an automorphism group of order p2 in the elation complement, then it is proved that L, is Miquelian.