Re-employment during the period of receiving unemployment insurance benefits, can the new unit continue to receive unemployment insurance benefits without paying social security?

Hello, but because unemployment benefits are paid at the same time, suppose you want to transfer your personal social security to a new work unit, then if you pay unemployment benefits, this employment bureau will find that you have started to pay social security, and then you will stop paying unemployment benefits, which will have a certain impact on you. Of course, if you choose to apply for insurance in your new work unit in time, this social security is five insurances and one gold, so in fact you can't get it.