Transition from student visa to work Z type

Hello, my potential employer would be able to provide me with a work Z type. Right now I'm on a student X type that will expire in less than 2 weeks. If in the next coming week, my employment is confirmed and they sort me out with the paperwork needed for a work Z type, would I still be able to change the X type to a work Z type without leaving the country? And if so, would they be able to change my Z type with just about one week left on its validity? thank you!