01 - Combine cream cheese, crab meat, green onions, garlic, soy sauce, Worcestershire sauce, sesame oil, black pepper, and salt in a medium bowl. Mix thoroughly until completely smooth and well incorporated.
02 - Position an egg roll wrapper on a clean work surface with one corner pointing toward you. Spoon 2 tablespoons of filling onto the bottom corner. Fold the bottom corner over the filling, fold in both sides, then roll tightly upward. Brush the final corner with beaten egg to seal securely. Repeat with remaining wrappers and filling.
03 - Pour vegetable oil to a depth of 2 inches in a deep skillet or pot. Heat to 350°F.
04 - Cook egg rolls in batches, turning occasionally, until golden brown and crispy—approximately 3 to 4 minutes per batch.
05 - Transfer fried egg rolls to a wire rack or paper towels to drain excess oil. Serve immediately with sweet chili sauce if desired.