  We present a calculation of the process B --> D eta' within a heavy-light
chiral quark model. We assume that the eta' has a large gluonic component, and
its coupling is described via the glue-glue-eta' effective vertex. The main
contribution comes from the non-factorizable part of the effective weak
Lagrangian at quark level. We find, within our model-dependent assumptions, a
branching ratio Br(B --> D eta') = (1.7 -- 3.3) 10^(-4), somewhat below the
experimental upper bound 9.4 10^(-4).
