Suppose $X_t$ is the solution to 
$$
d X_t=b(X_t)dt+dL_t,\quad X_0=x. 
$$
where $L$ is a rotational symmetric $\alpha-$stable process with $\alpha\in (0,1]$, $b$ is Lipchitz. 

Assume $\Gamma\subseteq \mathbb{R}^d$ and $\ dim(\Gamma)<d-1$. Is it possible to prove $\Gamma$ is a polar set, which means 
$$
{\bf P}_x(T_\Gamma<\infty)=0, \quad \forall x\in \mathbb{R}^d? 
$$
where $T_{\Gamma}:=\inf\{t>0: X_t\in\Gamma \}$.