Insurance coverage for weight loss surgery varies by state and insurance provider. If you are considering weight loss surgery, the first step is to contact your insurance plan to find out if the procedure is covered and what, if any, caveats may exist.n general, the costs of weight loss surgery comprise anesthesia, the hospital facility and the surgeon's fee. There will also likely be additional costs after surgery, including those associated with diet and fitness plans, behavioral modification therapy and nutritional supplements.