A special case of Skolem-Nother 'sTheorem

Question

Assume that $D$ is a division ring and $n>1$ be a natural number. Let $a\in SL_n(D)$ be a torsion element. For example, $a^m=1$. Also consider that $F=Z(D)$. Therefore, $[F[a]:F]<\infty$. By Skolem-Nothere's Theorem, there exists an element $b\in GL_n(D)$ such that $bab^{-1}=a^i\neq a$ for some $ i \leq m$. Can we choose $b$ such that $b\in SL_n(D)$?