Unfortunately, health insurance is an employment benefit, and unless there is an agreement to the contrary (e.g. a severance agreement), it ends when employment does. You can of course continue it through COBRA, in which case you will need to pay the employer's share of the premiums as well as the employee share. Where there might be some confusion is that you do not need to elect COBRA the day you are laid off; you have a grace period during which to select it, and if you do, the coverage is retroactive back to your termination.