  In this paper, we study the martingale property for a Scott correlated
stochastic volatility model, when the correlation coefficient between the
Brownian motion driving the volatility and the one driving the asset price
process is arbitrary. For this study we verify the martingale property by using
the necessary and sufficient conditions given by Bernard \emph{et al.}
\cite{Bernard}. Our main results are to prove that the price process is a true
and uniformly integrable martingale if and only if $\rho \in [-1,0]$ for two
transformations of Brownian motion describing the dynamics of the underling
asset.
