此处是不是是省略了关系副词that？

I remember the day I got my first paycheck

请教老师，此句是定语从句省略了关系副词that吗

是不是用when 更适合些，譬如I remember the day when I got my first paycheck

谢谢老师解答

I remember the day I got my first paycheck.

= I remember the day when I got my first paycheck.

= I remember the day that I got my first paycheck.

= I remember the day on which I got my first paycheck.

当定语从句的先行词是：

the way （方法）

the reason （缘由）

the time/day （时间）

the place （地址）

后面的定语从句，可以用关系副词 that 引导或者省略that ，还可以用相应的关系副词或“介词+which“，比如：

Please tell me thereason you did it.

Please tell me thereason that you did it.

Please tell me thereasonwhy you did it.

Please tell me thereasonfor which you did it.