Summary: In this paper, we consider the pullback attractors for a nonautonomous semilinear degenerate parabolic equation \(u_t-\text{div}(\sigma(x)\nabla u)+ f(u)= g(x, t)\) defined on a bounded domain \(\Omega\subset\mathbb{R}^N\) with smooth boundary. We provide that the usual \((L^2(\Omega),L^2(\Omega))\) pullback \({\mathcal D}_\lambda\)-attractor indeed can attract the \({\mathcal D}_\lambda\)-class in \(L^{2+\delta}(\Omega)\), where \(\delta\in[0,\infty)\) can be arbitrary.