Work location is incorrect on payroll

i am starting a new job and the company made a mistake and put my work location as Texas instead of New Jersey where i reside. I will be working from home only.

 

i have already taken steps to correct the work location.

 

my question is what is the tax implication if this isn't corrected before i receive my first paycheck.

 

is the impact only to State taxes or federal as well?

 

is there something i can do to not have an impact at tax time or is it not a big deal?

 

thanks