Why I'm getting undefined while assigning a function call to a variable even when it is a synchronous call?

I have a piece of code as this :

function imp(user) {
  return console.log("user", user)
}

var msg = imp("Jenny")

console.log("msg", msg)

I'm getting an output as this :

user //for user log
undefined // for msg log

However I expect this undefined if the code was async, for example a setTimeout call inside the imp function as :

function imp(user) {
  setTimeout(() => {
    console.log("inside the timeout for ", user)
  }, 3000)
}

But since the very top code is sync, then still why it logs undefined ?

Isn't that equal to simply assigning a new variable (msg) to a function call?

Thanks for reading