What are the requirements for a company to sponsor an H-1B?

I’m currently working at a small company and worried that even if I get selected in the lottery, they might not be able to successfully file my petition.

What are the requirements for a company to sponsor an H-1B? Should I start looking for a new job just in case?

Would appreciate any advice!

I think they need to file a LCA. Did you ask if the company can sponsor you? The registration is starting very soon!