Tenant refuses to sign termination of lease

[Tomasz Kaminski]

The tenant has a lease that end June 30,2022 and I know I need to provide him a "notice to quit" termination letter. I have provided this, but he has refused to sign simply saying that he doesn't want to sign and will sign when he moves out. I am concerned this may end up with me forcing an eviction. What should my next step be? Is a certified and proof of receipt postage sufficient to meet the requirement to notify the tenant? The property is located in Illinois is DuPage county.

Thanks all,

Tom