W-4 Form

I recently got a new job but I put in my two weeks for my current job. My new job sent me a W 4 form. Do I claim I am working 2 jobs and do I have to update my current job W-4? Or does it not matter since I’m leaving in 2 weeks? Or do I file it out that I have 1 job only? I really don’t want to owe money to the IRS.