In one aspect, a system for spraying a fluid onto or near seeds may include a planter having a seed meter configured to dispense seeds from a hopper, a seed tube extending from the seed meter toward a furrow, and a rotationally-driven belt positioned within the seed tube. The belt may be configured for conveying the seeds from the seed meter through the seed tube to the furrow. The planter also includes a sprayer assembly having a nozzle configured to spray a fluid on or near the seeds dispensed from the seed meter. The system may further include a controller configured to determine a current speed of the belt relative to the seed tube and control the sprayer assembly based on the current speed of the belt such that the nozzle sprays the fluid at least one of onto or near each of the seeds.