A numerical analysis has been made to examine the possible deviation of the instantaneous heat transfer to a growing spherical bubble from the quasi-steady heat transfer to a nongrowing bubble. It has been confirmed that the instantaneous Nusselt number has a negative dependency on the temperature difference or, more directly, on the bubble growth rate. But the degree of the dependency is much lower than that previously predicted. The significant dependency of Nusselt number on the temperature difference as demonstrated by some experimental works presumably resulted, for the most part, from some effect other than that of the bubble growth rale increasing with the temperature difference.