  Most passive droplet transport strategies rely on spatial variations of
material properties to drive droplet motion, leading to gradient-based
mechanisms with intrinsic length scales that limit the droplet velocity or the
transport distance. Here, we propose droplet ${\it fibrotaxis}$, a novel
mechanism that leverages an anisotropic fiber-reinforced deformable solid to
achieve spontaneous and gradient-free droplet transport. Using high-fidelity
simulations, we identify the fluid wettability and the fiber orientation as
critical parameters that enable controllable droplet velocity and long-range
droplet transport. Our results highlight the potential of fibrotaxis as a
droplet transport mechanism that can have a strong impact on self-cleaning
surfaces, water harvesting and medical diagnostics.
