In the Fe-3%Si alloys, grade Hi-B with AlN and MnS as inhibitors, the Goss grains that abnormally grow have not a size greater than the average size of the primary matrix. In such a heterogeneous microstructure, the size factor is not a required condition for the secondary recrystallization. The abnormal growth onset of the small Goss grains appears to be related to a particular behaviour of their grain boundaries and therefore to the local texture so as the distribution of the inhibitors. The presence and the evolution of textured clusters ensure to the small Goss grains a favourable neighbourhood to grow. In this study, their growth ability is compared with that of the largest grains of the matrix. The modified Monte-Carlo approach, performed in the present study, considers the local environment of each grain, so that the growth rate is dependent of its real spatial position, the matrix heterogeneity is then taken into account.