核心问题
some little 是具有否定意义(相当于 little)，还是具有肯定意义呢？
词典解答
some little 具有肯定意义, 是“相当多”(quite a lot, a considerable amount) 的意思:
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We are going to be working together for some little time yet. 我们打算一起工作好长一段时间。
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I hope this is the last we see of him for some little time! (LDCE) 我希望我们在好长一段时间里都不会再见到他！