A predictive equation for the infinitely dilute diffusion coefficients of various solutes in gaseous and liquid phases is proposed. The expressions proposed previously for the tracer diffusion in binary hard sphere fluids are examined critically and a new expression, based on the molecular dynamics simulations of Alder et al. (1974), obtained. The obtained expression is extended first to a Lennard-Jones fluid and then, by introducing a coupling factor, to a real fluid. The molecular diameter and energy parameters used in the equation are calculated with generalized correlations and simple combining rules. The coupling factor is correlated with the acentric factor. The derived equation is tested against a large number of experimental data: 1443 points for 120 systems, including the diffusions of various solutes in gases, supercritical fluids, and liquids. Excellent predictions were obtained: the total absolute average deviation is only 8.42%. For most systems, the predicted errors are comparable to the experimental uncertainties.