This is what I found with a quick search. You should be ok as long as you start your appeal as soon as you get written notice.

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• Non-Medical Initial Determination:
  • If you ask for a reconsideration in writing within 10 days of the date you receive the notice, any payment we are currently making will continue until we make our reconsideration determination if you continue to meet all other SSI eligibility requirements.
  • If you ask for a reconsideration more than 10 days after the of the date you receive the notice, but within 60 days of the date you receive the notice, your payment may decrease temporarily. However, we will restart any payment we are currently making once we receive and enter your reconsideration. You will continue to receive that payment until we make our reconsideration determination if you continue to meet all other SSI eligibility requirements.
  • If you do not want to continue to receive payments, you can ask us not to continue payments by completing Form SSA-263 (Waiver of Supplemental Security Income Payment Continuation).
• Medical Disability Cessation Determination:
  • If you appeal a medical disability cessation determination and you want to keep receiving benefits until we make a new determination, you must complete a written request for benefit continuation within 10 days after the date you receive the written notice. You are entitled to a hearing with a disability hearing officer.'