  We study in this article the existence and uniqueness of solutions to a class
of stochastic transport equations with irregular coefficients and unbounded
divergence. In the first result we assume the drift is $L^{2}([0,T] \times
\R^{d})\cap L^{\infty}([0,T] \times \R^{d})$ and the divergence is the locally
integrable. In the second result we show that the smoothing acts as a selection
criterion when the drift is in $L^{2}([0,T] \times \R^{d})\cap L^{\infty}([0,T]
\times \R^{d})$ without any condition on the divergence.
