Look for firm, straight, rounded stalks with small, crisp tips. The thickness of the asparagus is not important as both thin and thick asparagus can be tender. Asparagus is available in green, white and purple varieties, white asparagus is less sweet. Store in the crisper section of the refrigerator. Australian Asparagus are available at the start of spring to the end of summer. Imported Asparagus is available at other parts of the year. Baby asparagus is almost always imported as harvesting baby asparagus in Australia is not commercially viable.