  Let $\mathbb{k}$ be an algebraically closed field of characteristic $ p>0. $
In this short note, we illustrate a class of Lie superalgebras over $
\mathbb{k} $ such that the category of restricted supermodules is of one block.
As an application, if $ p>3 $ and $ \mathfrak{g} $ is a graded restricted
Cartan type Lie superalgebra of type W, S and H, then the category of
restricted $ \mathfrak{g} $ supermodules is of one block.
