Travel on b1 when H1b cap lottery result yet to announced

Can I travel in b1 visa for period of 3 week for the same client when h1 is in process.

I have applied for 2020 Cap, but still I don’t know the lottery result.

Sure, you can travel on B1 Visa, should not be an issue. As you are not in US and not filed under Change of Status, it does not matter.