  Let $\mathcal{M}$ be a ($\sigma$-finite) von Neumann algebra associated with
a normal faithful state $\phi.$ We prove a complex interpolation result for a
couple of two (quasi) Haagerup noncommutative $L_p$-spaces $L_{p_0}
(\mathcal{M}, \phi)$ and $L_{p_1} (\mathcal{M}, \phi), 0< p_0 < p_1\leq
\infty,$ which has further applications to the sandwiched $p$-R\'{e}nyi
divergence.
