I can't compromise to seeing you next week because I have a lot of work to do and I don't know if I'll be available.
Explanation:
This question requires a personal answer. That is why I will give you an answer so that you can take an example and, if you believe it necessary, you can change it to your liking.
When you have a compromise it means that you agree with one or more parties to make certain concessions each of them. A commitment or a copromise is something that should be done in a totally effective way, therefore if someone has something that impedes that commitment, they should not commit.