In diffusion, the flux is driven by a concentration gradient. According to Fick’s First Law:
\[
J = -D \frac{dC}{dx}
\]
where:
\( J \) = diffusion flux
\( D \) = diffusion coefficient
\( \frac{dC}{dx} \) = concentration gradient
When the surface concentration of a species is high, a steep concentration gradient develops across the material. Over time, as diffusion continues, this gradient can persist or even increase, especially if the surface continues to supply the diffusing species.
This results in an increasing diffusion flux over time, particularly in non-steady-state diffusion scenarios. Hence, the correct answer is: **Increase with time**.