We prove the existence of uniform attractors $mathcal{A}_{varepsilon}$ in the space $H^1(mathbb{R}^N){cap}L^p(mathbb{R}^N)$ for the following non-autonomous nonclassical diffusion equations on $mathbb{R}^N$, $$u_t-{varepsilon}{Delta}u_t-{Delta}u+f(x,u)+{lambda}u=g(x,t),;{varepsilon}{in}(0,1]$$. The upper semicontinuity of the uniform attractors ${mathcal{A}_{varepsilon}}_{{varepsilon}{in}[0,1]}$ at ${varepsilon}=0$ is also studied.