Lay the whole wheat tortillas flat on a clean workspace.
Spread 1/4 cup of hummus in an even layer across the center of each tortilla.
Distribute the baby spinach, cucumber, tomatoes, red onion, and olives evenly over the hummus layer.
Drizzle the lemon juice over the vegetables and sprinkle with crumbled feta and dried oregano.
Fold the left and right sides of the tortilla inward about 1 inch.
Roll the tortilla tightly from the bottom edge to the top to seal the wrap.
Slice each wrap diagonally in half and serve.