The fit of your contacts may be adequate for normal, every day wearing, but that fit may be comprised but the sporting activities unique requirements.
When biking, most road cyclists heads are not completely vertical, and the cyclist typically has to direct their gaze upward to see straight ahead. In doing so, a contact lens will be forced up against the upper lid, and the lens may then be pushed downward, resulting in the lens fitting not on the cornea, but more on the sclarea (white portion), which is curved differently than the corneal surface.
Result - lens will not be hydrated correctly, will tend to lift up and away, move off the cornea, and might even be blinked off.
Possible solutions- speak to your eye care professional about contact lenses fit specifically for sports, typically, larger diameter lenses, that provide move coverage. Might be worth the added expense, if specs are a problem.