Asparagus are generally available from mid-February through June, with peak season from April to June. When you are buying asparagus, look for closed, compact tips, smooth, round spears and a fresh appearance. Most of the spear should be a rich green color, and should be tender as far down as the green color extends. AVOID: Tips that are opened and spread out, moldy or decayed, and spears that are ribbed. Also avoid sandy asparagus, because it is hard to clean.