After accepting an offer and submitting the background check report, I was notified by the immigration team that there is a discrepancy in the employment history I entered in the immigration questionnaire and my resume. I checked my resume and noticed that I accidentally put the wrong year on my current job. My current job starts on July 2021 but I put July 2020 there and didn't notice this typo for a very long time.
I was working at the current company as an intern 6/2020 - 9/2020, and then joined the company I'm applying to as a contractor 12/2020 - 6/2021. Then I left there and worked at my current company from 7/2021 to now. Now I'm planning to rejoin that company as a full-time employee. I didn't want to hide anything as it's pretty clear that those work experiences are overlapped.
I remembered that I entered the right employment history when filling the online application, and I told my hiring manager that I was in this team until Jun 2021. Some of my interviewers are actually my previous coworkers and they know clearly that I was there last year instead of at my current company.
I sent the clarification email to my on-boarding HR but haven't heard back from her yet. Do people think this will cause me to lose my offer? Shall I contact my recruiter and hiring manager immediately to explain this?