Most Asian dumpling wrappers don't contain egg. I've seen recipes online and elsewhere that incorporate egg into the dough and that's not necessary for all dumplings, especially popular pot stickers.

What are potstickers made of?

Potstickers are a type of dumpling. Usually filled with pork and cabbage, or cabbage and vegetables like carrots for a vegetarian version. Potstickers are generally folded into a pleated crescent shape. They are pan fried and steamed, which create nice crispy exterior and a juicy interior.

What's the difference between egg rolls and potstickers?

Wonton and potsticker wrappers: Like egg roll wrappers, wonton and potsticker wrappers contain eggs, as well as wheat flour and water. Thus, they have the same texture and tawny color as their egg-roll cousins. However, these wrappers are much smaller in size — usually around 3 1⁄2 inches in diameter.