Question: Briefly overlapping employers, problem for immigration?

Hey everyone

Thank you in advance for reading this and responding 🤍

TL;DR im on a 5 year engineer/specialist etcetc work visa currently employed as a seshain for company A.

company A requires 30 day notice, however the law requires only two weeks. I am switching employment into a completely different industry to work at Company B from February 1st.

I provided company A with a three week notice, which naturally made HR quite displeased. As work at company A is shift based, my manager approached me and offered a deal upon which I could essentially change my resignation date back to comply with the 30 days rule, while not having to attend a single shift.

So I'd officially on the paper leave company A on February 11th
And I would officially on the paper join company B on February 1st

This is good for me, and for both my employers – the only thing I'm worried about is immigration. Does this short overlap have any chance of creating problems down the road with immigration and other administrative bodies?

Kind regards