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A memory-based snowdrift game (MBSG) on spatial small-world networks is investigated. It is found that cooperation rate versus temptation shows some step structures on small-world networks, similar to the case on regular latticcs. With the increment of rewiring probability based on four-neighbour regular lattices, more steps are observable. Interestingly, it is observed that cooperation rate peaks at a specific value of temptation,which indicates that properly encouraging selfish actions may lead to better cooperative behaviours in the MBSG on small-world networks. Memory effects are also discussed for different rewiring probabilities. Furthermore,optimal regions are found in the parameter planes. The strategy-related average degrees of individuals are helpful to understand the obtained results.