Self-employed and unemployed status at the same time

Hi, Does anyone know what to do/who to contact in relation to an unfortunate (but thankfully short!) overlap between two types of status? I believe that I de-registered as self-employed by filing in the relevant online form on 5 February 2024, stating that my last day of self-employment was 2 February. I was going through some documents today and realised that on the same day - 5 February - Job Centre Plus made a letter telling me about my Job Seeker's Allowance claim being successful, and awarded to me from 29 January 2024. Obviously, the letter would have taken a couple of days to arrive by post hence me knowing about the dates overlapping. This means that between 29 January and 2 February, I was likely registered as both 'self-employed' and 'unemployed'. Not sure if teams at DWP or rather HRMC can help me fix this? Any steer would be hugely appreciated.

Hi,

Please contact the DWP for advice.

Thank you.