Is there a good way to use a object from Type Type in a generic method?

  Type type = typeof(object);
  GenericMethod</*use Type here*/>(); 

private IInterface GetObject(StoredObject storedObject)
        {
            foreach(var type in TypeList)
            {
                if(type.Name == storedObject.Type)
                    return JsonConvert.DeserializeObject</*TheCorrectType*/>(storedObject.ActualObjectData);
            }
        }