
Just a minute/moment/second
Brief Interruption
Implies you need someone to wait for a very short while, usually under a minute.
Just a second, I need to tie my shoelaces.
Polite Request
Communicates a polite way to interrupt or ask someone to wait.
Just a moment, please, while I check the information for you.
Immediacy
Shows that you'll attend to the request or action very soon.
Just a minute, I'm almost finished with this task.