The Diffusion-Limited Cluster-Cluster Aggregation (DLCA) model is modified by including cluster deformations using the bond fluctuation algorithm.From 3d computer simulations, it is shown that, below a given threshold value c g of the volumic fraction c, the realization of all intra-aggregate bonding possibilities prevents the formation of a gelling network. For c > c g , the sol-gel transition occurs at a time t g which, in contrast to DLCA, doesnot diverge with the box size. Several results are reported including small angle scattering curves and possible applications are discussed.