You will receive your first inquiry from a company’s HR specialist, but no one can tell you when. This time period can range from one week to a few months. Don’t get over-enthusiastic; you won’t be able to agree on proper or even acceptable conditions. Present a calm face to the new company. This is crucial. They should not feel that you are the one who needs them. I can’t give further advice on this, it takes practice and experience. Just don’t forget: "it's easier to find a job, when you have a job".