each time 和 every time被分析为连词引导时间状语从句。其实是省略了time后的关系副词。如果加上关系副词when/that, 就是名词词组+定语从句作时间状语了。虽然when/that通常是省略的，但还是有使用的。在COCA语料库搜索every time when,有60多条结果。搜索every time that 有400多条结果。例如：

I got this every time when I am deleting large amount of data.

Every time when I'm about to shout I wake up.

Every time when I tried to touch Ai's body, the image of the unhappy mother appears in my mind.

This behavior prevents Outlook from reimporting your deployed lists every time that you start Outlook.

Every time that the State Department gave me a definitive policy I followed it to the' T' and there was never daylight between me and the State Department on policy.

 Every time that some group tries to restrict the scope of who is welcomed, the community gains some new members and loses others.