The New Jersey Division of Taxation says that it takes a minimum of 4 weeks to process an e-filed return, and a minimum of 12 weeks to process a paper return. This applies to all New Jersey tax returns, whether they are filed with TurboTax or any other way. You can check the status of your New Jersey refund at the following link.
https://www16.state.nj.us/TYTR_TGI_INQ/jsp/prompt.jsp
