US H-1Bs are still available. It looks as if not all visas will be used for the current fiscal year. There are currently about 14,000 visas left for the regular H-1B visa and about 5,000 visas left under the H-1B masters exemption. In past years all visas have been used up in a single day. You can also start work as soon as your visa is approved. In the past because of lack of availability of visas many people had to wait for many months before being able to start work.