What does it Mean When Someone Says: I HAVE A FEW MINUTES or I’VE GOT A FEW MINUTES?

If someone says they have a few minutes, they are politely saying that they are busy, but they are willing to give you some of their time.

It is a polite way of saying, “I need to keep this conversation short.”

Example:

Jo: Mr. Smith, I am wondering if I could ask you some questions about the upcoming changes in my job.

Mr. Smith: I have a few minutes now. What would you like to know?