1. Having an ample amount of time (to do something or be somewhere); not at all busy or rushed. We can do the interview now, if you prefer. I'm in no rush. I'm in no rush, so I don't mind if you go first.

2. Not particularly eager, willing, or desiring. Usually followed by "to (do something)." Please make sure the accounts are completely in order. I'm in no rush to have the IRS do an audit on us right now. I don't mind staying home with the kids. I'm really in no rush to go to the gym tonight, if I'm honest.