We compute the strong coupling constant g(P)(P pi), With P and P* res
pectively pseudoscalar and vector heavy mesons by using the QCD sum ru
les approach. Our computation is based on the evaluation of the time o
rdered product of currents between the vacuum and the soft pion state.
The so-called parasitic terms are taken into account and give a contr
ibution to the sum rule of the same order of the lowest lying state, w
hile higher dimension non perturbative terms have small numerical effe
cts. The infinite heavy quark mass limit is also examined.