  In this paper we consider a nonlocal viscous Burgers equation and study the
well-posedness and asymptotic behaviour of its solutions. We prove that under
the smallness assumption on the initial data the solutions behave as the self
similar profiles of the Burgers equation with Dirac mass as the initial datum.
The first term in the asymptotic expansion of the solutions is obtained by
rescaling the solutions and proving the compactness of their trajectories.
