  We prove a robustness of regularity result for the $3$D convective
Brinkman-Forchheimer equations $$ \partial_tu -\mu\Delta u + (u \cdot \nabla)u
+ \nabla p + \alpha u + \beta\abs{u}^{r - 1}u = f, $$ for the range of the
absorption exponent $r \in [1, 3]$ (for $r > 3$ there exist global-in-time
regular solutions), i.e. we show that strong solutions of these equations
remain strong under small enough changes of the initial condition and forcing
function. We provide a smallness condition which is similar to the robustness
conditions given for the $3$D incompressible Navier-Stokes equations by
Chernyshenko et al. (2007) and Dashti & Robinson (2008).
