Clock skew scheduling is a common and well known technique to improve the performance of sequential circuits by exploiting the mismatches in the data path delays. Existing clock skew scheduling techniques, however, cannot effectively consider heavily gated clock networks where a local clock tree exists between clock gating cells and registers. A methodology is proposed in this paper to efficiently achieve clock skew scheduling in circuits with gated clock networks. The methodology is implemented via both linear programming and constraint graph based approaches, and evaluated using the largest ISCAS'89 benchmark circuits with clock gating. The results demonstrate up to approximately 21% reduction in clock period while maintaining the power savings achieved by clock gating. A conventional design flow is used for the experiments, demonstrating the applicability of the proposed algorithms to automation.