Looking for a word/expression

If a doctor has a hole in schedule so someone could get an appointment, how would you say that? Another word than appointment. What about free time? Or... I don't know. Because I would like to be able to make a sentence like "I have a (insert) for you." And I guess I can't say "I have a hole in my schedule for you":-) As you can see I'm clueless, so please help. Thank you.