In this paper, we consider a collaborative scheme in wireless sensor networks where the multiple access protocol is a DS-CDMA one. When the receiver is equipped with an antenna array, it has been shown that efficient blind receivers can be derived using the PARAFAC tensor model. In general, the parameters of the PARAFAC model are fitted using an alternating least squares algorithm. Herein, we consider the case where each receiver has a single antenna. Therefore, by allowing collaboration in a predefined neighborhood, we derive a distributed alternating least squares algorithm including some average consensus steps.