I have a job offer for which the company proposed a start date exactly 2 weeks out. If I accept today and give my 2 weeks notice tomorrow, my last day would be on a Friday and I'd start the new job on the following Monday.
I would like some time off to relax between the jobs. I don't have any pre-booked vacation or anything extraordinary that I could cite - I just want some time off.
Would asking for this show disinterest, like saying "Yes, I am excited to work for you guys... but not excited enough to start right away"?
Should I only give notice when the background checks and everything else comes back and it's more official, in case HR at new job messes things up, my records get confused with someone else's, etc.? Would this make them think I may have a bad background I am trying to hide?
Is it appropriate to ask for the extra week? If it is, are both factors (waiting to give notice and just wanting downtime) important, or should I only cite one of them? How should I frame my response to the recruiter (who will deliver the message for me indirectly)?