  Let $\Omega$ be a domain in $\mathbb C^n$. Suppose that $\partial\Omega$ is
smooth pseudoconvex of D'Angelo finite type near a boundary point $\xi_0\in
\partial\Omega$ and the Levi form has corank at most $1$ at $\xi_0$. Our goal
is to show that if the squeezing function $s_\Omega(\eta_j)$ tends to $1$ or
the Fridman invariant $h_\Omega(\eta_j)$ tends to $0$ for some sequence
$\{\eta_j\}\subset \Omega$ converging to $\xi_0$, then this point must be
strongly pseudoconvex.
