Looking on the internet deeply has found these results:

he might be available is the most popular phrase on the web.

he might be busy 1343,000 results on the web	he might be available 1472,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
Here, pretend to be busy. So, you must be busy planning your next move. But he just volunteered, and I figured you'd be busy with Nick. The roads into the market will already be busy. I'll be busy this weekend. Must not be busy there today. I'd rather be busy so I don't get sad. You seemed to be busy writing, Miss...	A more permanent scheme governance model should be available. PHARE funding continues to be available. Adequate lighting facilities shall be available. Food, housing, medical care should always be available. So we think this provision should be available. Information concerning source, preparation date and stability should be available. Detailed plans shall be available for emergency vaccination. The research findings must be available to all stakeholders.

he might be busy

1343,000 results on the web

he might be available

1472,000 results on the web

More popular!

A more permanent scheme governance model should be available.
PHARE funding continues to be available.
Adequate lighting facilities shall be available.
Food, housing, medical care should always be available.
So we think this provision should be available.
Information concerning source, preparation date and stability should be available.
Detailed plans shall be available for emergency vaccination.
The research findings must be available to all stakeholders.