This position makes no sense unless one or more of the following are true:
1. You lucked your way into a role that you're completely unqualified for
2. Your employer will use this information to expedite the process of termination (that began prior)
Unless you're in big tech, your employer will beg you to stay if you mention interviewing elsewhere. And if do have a name brand on your resume it will magically float to the top of the list.