Hi Tammy,
The only dining locations at Walt Disney World that have a dress code are those categorized as "Signature Restaurants." Those are Jiko - The Cooking Place, Flying Fish Cafe, California Grill, Citricos, Narcoossee's, Artist Point, Yachtsman Steakhouse, Le Cellier Steakhouse, Monsieur Paul, The Hollywood Brown Derby, The BOATHOUSE, The Dining Room at Wolfgang Puck Grand Cafe and Fulton's Crab House. The dress code at those is "Resort Casual," which means tank tops, swimsuits, swimsuit coverups, hats for men, cut-offs, torn clothing and clothing with offensive graphics or language are not permitted. Generally, at the Signature Restaurants I see men wearing jeans, khaki pants or nice shorts with a polo, dress shirt or nice t-shirt. Women generally wear a dress, capris or dress shorts. Jeans and t-shirts, as long as they meet the rules above, are certainly allowed. The other dining spots do not have a dress code, which means you can go straight from the theme parks in the clothes you're wearing.
Just to clarify, you'll actually have four different Wolfgang Puck options at Disney Springs - 2 Quick-Service locations (Wolfgang Puck Express in Disney Springs West Side and Wolfgang Puck Express in Disney Springs Marketplace), plus 2 Table-Service restaurants,
Wolfgang Puck Grand Cafe and the
The Dining Room at Wolfgang Puck Grand Cafe. The Dining Room is the only one of these that has a dress code.
I hope that helps and wishing you a magical vacation!
Beth