  A scenario which overcomes the well-known cosmological overshoot problem
associated with stabilizing moduli with steep potentials in string theory is
proposed. Our proposal relies on the fact that moduli potentials are very steep
and that generically their kinetic energy quickly becomes dominant. However,
moduli kinetic energy red-shifts faster than other sources when the universe
expands. So, if any additional sources are present, even in very small amounts,
they will inevitably become dominant. We show that in this case cosmic friction
allows the dissipation of the large amount of moduli kinetic energy that is
required for the field to be able to find an extremely shallow minimum. We
present the idea using analytic methods and verify with some numerical
examples.
