This letter presents a "before convergence" early stopping criterion for the LDPC decoder defined in the second generation of DVB standards. The idea is to stop the decoding process once the estimated number of remaining errors is below the maximum capacity correction of the outer BCH decoder used in the DVB-S2, T2 and C2 standards. Simulations show that the average number of iterations is reduced by up to 26% compared with classical early stopping criterion up to a frame error rate of 10^-6.