at any time , also: any time now
at any minute , also: any minute now
at any moment , also: any moment now
at any given moment

Still, something made her call out at the last minute.

At the last minute, she could not bring herself to go.

They'll take care to get him out of the way at the right minute.

Once he almost asked her when his turn was going to come, but decided at the last minute not to.

I kept thinking he would back off at the last minute.

But at the last minute a deal was always worked to keep them in.

And at the last minute she came up with a new plan.

She had a very good idea which members of the company would show up at the last minute.

But at the last minute, the general asked to drive.

They are easy to make, but not at the last minute.