Seed for $RANDOM environment variable in bash

I am working on a bash script that uses the $RANDOM environmental variable as an input in a simulation. The variable does what it say, give random integers, and I as far I understand it is taken from /dev/random.

However I would like to have a reproducible simulation, then the pseudo-random generator should be initialized with a seed; is it possible to have a seed for the $RANDOM variable in bash?