Regression testing is widely recognized as an important but time-consuming process. In the literature, researchers have put dedicated efforts in test selection, reduction, and prioritization, to alleviate this cost issue. These techniques share the commonality that they improve regression testing by optimizing the execution of the whole test suite. In this paper, we attempt to accelerate regression testing from a totally new perspective, i.e., skipping some execution of a new program by reusing program states of an old program. Following this intuition, we propose a state-reuse based acceleration approach SRRTA, which consists of state storage and loading. With the former, SRRTA collects some program states during the execution of an old version through three heuristic-based storage strategies; with the latter, SRRTA loads the stored program states with efficiency optimization strategies. Finally, we conduct a preliminary study on \emph{commons-math} and find that SRRTA reduces 80.3% of the regression testing time, indicating it is very promising in accelerating regression testing.