① 最简单的译法就是：I'm expecting the day.
(根据《柯林斯高阶英汉词典》：expect 盼望；期待；等待 If you are expecting something or someone, you believe that they will be delivered to you or come to you soon, often because this has been arranged earlier.)
注意：虽然I expect that day to come soon或者I expect that day will come soon在语法上没有问题，但此时主要是说我预期那一天会很快到来，与原意有出入。
②根据中文意思，此处的“期待”更多是“期望，希望”的意思，而“快些来”偏向于主观意愿，客观上一般无法实现，因此可用wish+
虚拟语气： I wish that day would come sooner.
如果那一天快些到来在客观上能够实现的话，可以采用： I hope that day will come sooner.