understanding 心配しなくとも in the following sentence


I came across this sentence of two people drinking coffee/tea late at night:

> A:「悪くはないが……明日も授業があるだろ？」  
>  B:「ええ、勿論です。……心配しなくとも、寝坊などはしませんよ」

my understanding is that person B is saying "Don't worry, I won't oversleep"
but I'm not sure how 心配しなくとも works here. is it similar to 心配しなくてもいい with the
いい being omitted?




とも attached to the 終止形 of a verb, or 連用形 of an adjective, has the meaning of
'even if'. It has a classical/literary flavour about it.

しなくとも = (modern Japanese) しなくても

するとも = (modern Japanese) しても

