Tax withholding with two jobs

Good Afternoon, 

I work two job, currently  the withholding from my second job is at zero, I make $800-$1000 per month.

 

For my fill time job I was making around 38,000 and had my withholdings at 2

 

Now I have been promoted and the pay is significantly higher.

 

I am wondering would it make sense to change my fulltime job withholdings to ZERO

and the part-time withholdings to two or three.

 

I dont know if any of this matters, i just dont want to owe next  year and would like some opinions