Wrong state withholdings employer refused to correct W-2

I work and live in NJ. My employer generates W-2 and reports it to IRS based on my self-reported residence address. In the tax year 2017, I was briefly stationed in HK (for a month) in September, during which I changed my residence address to DE under my girlfriend’s home for the ease of mail communications with the company. Upon returning to the U.S., I forgot to update my employer to switch my address back to the NJ home. Consequently, my DE W-2 was over-withheld for additional taxes because my employer continuously (and incorrectly) reported my October, November, and December earnings to DE, despite that I had moved back to NJ and those months should really count towards NJ taxes. (Meanwhile on top of the DE withholdings, I was withheld for NJ taxes for Oct, Nov, and Dec because the income source itself was from NJ).

 

I have contacted my employer, but the payroll service department refused to generate a corrected W-2. Is there anyway with TurboTax, or with the use of the State forms, that I could report my taxes to reflect my true work-residential situation?


Thank you! I have Turbo Tax 2017 Premier.