thats on your end with respect to your version requirements - nothing related to the module

@AndriySidliarskiy, have you managed to fix or work around your issue? Got the same problem. Even if I'm configuring the latest aws provider version:
aws = {
source = "hashicorp/aws"
version = ">= 5.95.0"
}

and the eks module 20.36 :
source = "terraform-aws-modules/eks/aws"
version = "20.36.0"

the terraform providers command shows that the submodule kms is downloading older aws version

├── module.eks
│   ├── module.kms
│   │   └── provider[registry.terraform.io/hashicorp/aws] >= 4.33.0