Let f and g be two cuspidal modular forms and let be a Coleman family passing through f, defined over an open affinoid subdomain V of weight space . Using ideas of Pottharst, under certain hypotheses on f and we construct a coherent sheaf over that interpolates the Bloch–Kato Selmer group of the Rankin–Selberg convolution of two modular forms in the critical range (i.e, the range where the p-adic L-function interpolates critical values of the global L-function). We show that the support of this sheaf is contained in the vanishing locus of .