If you know the curve it is just maths.
Some easy curves can be done with a few easings, which can be done with scirra.com/forum/behavior-litetween_topic53288.html
Although it is not that easy to determine the parameters for the easings when you land on the middle of the curved surface. You could probably work with image points of the sprite for that and ease between them with a fitting easing mode (and control the position of the tween by your movement along the curve)