Yes, it can be an issue — but only if you hide it.
What to do:
1. Fix your CV now
Show the real end date. Don’t wait.
2. Tell the recruiter early
One short note is enough: "Quick clarification: my CV shows I’m still working, but my role ended in monthxx... Just flagging so it’s accurate.”
3. If asked, keep it simple
“I took time for exams and recruiting.”
That’s it