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The computational load to solve the Green's function for a dielectric layer with a ground plane derived in the spatial domain is mainly determined by the quasi-dynamic term, which is expressed as a sum of an infinite series. A method to accelerate the solution procedure is proposed in which the quasi-dynamic term of the Green's function is simply expressed as a sum of finite terms. Numerical results show that the computation efficiency can be greatly improved using the proposed method, especially in cases where the dielectric constant is large and the ratio between the radial source-field distance and dielectric layer height is small. It is also shown that the proposed method is frequency insensitive over a wide frequency range.