Change insurance

I am interviewing for a j2, if I get this j2 is there a way to cancel my contracting role at j1 health insurance without raising suspicion?

J1 is hourly contract and they charge a lot from each paycheck for insurance. If I get this other role, how can I drop my j1 insurance so that I can only sign up for j2 health benefits?

Lmk if anyone has health with this before.

Edit, just to add, my wife passed away over the summer and company is aware. When I joined there insurance the qualifying event I used was that my wife stopped working (prior to her death).