First, I know that I can but should I.In my specific situation, I want to start the new job fast but I also want a week off. Giving two weeks to my current job would also coincide with vacation I had previously planned.If I gave 1 week notice, it would work out and everything would line up in terms of my timeline. I'm in a position where there's not a lot of handoff work and I would essentially be sitting around for two weeks doing nothing.