I assume you're asking as a contractor wanting to become fulltime? It's probably worth letting people you work with know that you'd take a fulltime role, becaus

I assume you're asking as a contractor wanting to become fulltime? It's probably worth letting people you work with know that you'd take a fulltime role, because IME many contractors had no interest whatsoever in converting. But you should make sure to know about any legal/administrative blockers, like agreements between your contract company and your FAANG workplace.