  In this short note, using G\"unther's volume comparison theorem and Yokota's
gap theorem on complete shrinking gradient Ricci solitons, we prove that for
any complete shrinking gradient Ricci soliton $(M^{n},g,f)$ with sectional
curvature $K(g)<A$ and ${\rm Vol}_{f}(M)\geq v$ for some uniform constant
$A,v$, there exists a small uniform constant $\epsilon_{n,A,v}>0$ depends only
on $n, A$ and $v$, if the scalar curvature $R\leq \epsilon_{n,A,v}$, then
$(M,g,f)$ is isometric to the Gaussian soliton $(\mathbb{R}^{n}, g_{E},
\frac{|x|^{2}}{4})$.
