Hello,
this question is not as trivial as it may seem.
The Laminar model in Fluent/CFX is pretty stable even when the physics are not laminar at all (internal flow, Re=20k, bifurcations/pipe bends that turbulise the flow even further...)
If it were a simple direct solver, undamped turbulence (combined with a typical RANS grid and a large timestep) should cause divergence, as it is the case with icoFoam.
If you know what the "Laminar" model is based on or you have any references, please let me know.