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We compute g_{D* D pi} and g_{B* B pi} using a framework in which allelements are constrained by Dyson-Schwinger equation studies of QCD, andtherefore incorporates a consistent, direct and simultaneous description oflight- and heavy-quarks and the states they may constitute. We link thesecouplings with the heavy-light-meson leptonic decay constants, and therebyobtain g_{D* D pi}=15.9+2.1/-1.0 and g_{B* B pi}=30.0+3.2/-1.4. From the latterwe infer \hat-g_B=0.37+0.04/-0.02. A comparison between g_{D* D pi} and g_{B* Bpi} indicates that when the c-quark is a system's heaviest constituent,Lambda_{QCD}/m_c-corrections are not under good control.

Strong D* -> D+pi and B* -> B+pi couplings