Flatten each slice of bread with a rolling pin.
Place a sausage link at the edge of each slice and roll it up tightly.
In a shallow bowl, whisk together eggs, milk, cinnamon, and vanilla.
Dip each roll-up in the egg mixture until coated.
Heat a buttered skillet over medium heat and cook roll-ups, turning until all sides are golden brown.
Serve warm with maple syrup.