in just a minute

[Saneta]

http://www.english-test.net/toeic/listening/what_is_your_new_manager_like.html

Could you please re-send the fax?
Yes, in just a minute. - shouldn't it be: Yes, just in a minute.
or both sentences are acceptable?

Thank You

[Beeesneees]

'In just a minute' is correct. - also: in just a short while / in just a second
It has no meaning other than to emphasise the speed. It could be written 'in a minute', 'in a short while', etc. with no loss of meaning.

From your placement of 'just' I suspect you are thinking of it having a similar meaning to 'only':
Yes, only in a minute - not right now.
_________________
Cheers m' dears!

[Saneta]

Thanks B.,
in just a second - a second what?

[Beeesneees]

The unit of time, not the ordinal number.

hour / minute / second

in a second = in a moment
_________________
Cheers m' dears!