Traditionally,"Let's keep it is said that 'between' is used in the case of two persons or things; 'among'between us / among us."
This is used in the case of more than two persons or thingsnot idiomatic. But thisThis is absolutely wrongpreposterous to the natives.
Now, let's discuss it in the light of properUsual grammatical rule: is not applicable here.
If you want to keep some secret within several distinct number (two, three, etc.) of people, use 'between' :
Let's keep it between two of us. (Correct)
Let's keep it between you and me. (Correct)
Let's keep it between us. (Incorrect).
[ Because, here, the pronoun 'us' refers to several indistinct number of people. SoInstead, 'between'one should not be used.]say :
If you want to keep some secret within several indistinct number of people, i.e., within a group, a crowd or a mass of people, in which the exact number of people is unknown or not clear, you may say :
- Let's keep it among us. (Correct)
[ Here, the exact number of people is not clear hereLet's keep it between you and me. So, 'among' has been used
Let's keep it between you and us.
Let's keep it between ourselves.
[OURSELVES : AmE, , meaning 'between you and me', Collins Dictionary ]