However, once your term life insurance policy is "In Force", there is no waiting period.
Life insurance policies have some exceptions, so be sure you understand them before purchasing a policy.
Also, simplified issue term life insurance policies offer a way for you to buy a term life policy without taking any health exam, and once approved (usually within 24-48 hours) you can start your policy immediately.
So, instead of waiting 6-8 weeks to get insured, you can start your simplified issue term life insurance within 1-2 days.