  In an equilibrium three-dimensional (3D) disordered condensate, it's well
established that disorder can generate an amount of normal fluid equaling to
$\frac{4}{3}$ of the condensate depletion. The concept that the superfluid is
more volatile to the existence of disorder than the condensate is crucial to
the understanding of Bose glass phase. In this Letter, we show that, by
bringing a weakly disordered 3D condensate to nonequilibrium regime via a
quantum quench in the interaction, disorder can destroy superfluid
significantly more, leading to a steady state in which the normal fluid density
far exceeds $\frac{4}{3}$ of the condensate depletion. This suggests a
possibility of engineering Bose Glass in the dynamic regime. As both the
condensate density and superfluid density are measurable quantities, our
results allow an experimental demonstration of the dramatized interplay between
the disorder and interaction in the nonequilibrium scenario.
