  Critical fluctuations of some order parameter describing a fluid generates
long-range forces between boundaries. Here, we discuss fluctuation-induced
forces associated to a disordered Landau-Ginzburg model defined in a
$d$-dimensional slab geometry $\mathbb R^{d-1}\times[0,L]$. In the model the
strength of the disordered field is defined by a non-thermal control parameter.
We study a nearly critical scenario, using the distributional zeta-function
method, where the quenched free energy is written as a series of the moments of
the partition function. In the Gaussian approximation, we show that, for each
moment of the partition function, and for some specific strength of the
disorder, the non-thermal fluctuations, associated to an order parameter-like
quantity, becomes long-ranged. We demonstrate that the sign of the fluctuation
induced force between boundaries, depend in a non-trivial way on the strength
of the aforementioned non-thermal control parameter.
