Read
here, specifically "Approximately how long does it generally take to process an order?".
"It takes one to two business days for us to process an order before they ship, no exceptions. Once the order has shipped, your estimated time of arrival will be determined by the shipping method paid for and your local FedEx guidelines for delivery. Newegg.com offers Rush Processing for orders placed before a specified time for an extra small fee. Newegg.com will put forth our best efforts to succeed, however cannot guarantee your order will ship the same day. If we fail, we will credit back the extra fee for Rush Processing."
Ergo, expect the shipment to occur Monday or Tuesday at the latest. Certainly could occur earlier, but policy would indicate the aforementioned days are most probable. If my dealings with NewEgg in the past could serve as any indication, assume shipment on Monday for an in-stock item.