Problems with recursive backtracking algorithm for a 3D maze

The algorithm really shines when craving process get’s stuck (only visited nodes around), then it backtracks and creates alternative routes for the maze. That’s kind of the point of a maze, that there are different paths and you can take wrong or right one. When I add extra dimensions (3rd one) to the algorithm to create a 3D maze, it almost never gets stuck because there are so much directions now to go and for most it’s just one way path. I wonder if there is some trick to fix this or maybe I need different algorithm?