In a recent paper [Journal of Physics: Condensed Matter 32, 495501 (2020)], A. Díaz-Fernández considers the three-dimensional Hamiltonian for Bi2Se3, a second-generation topological insulator, under the effect of a periodic drive for both in-plane and out-of-plane fields. As shown by means of high-frequency expansions up to second order in the Floquet Hamiltonian, the driving induces anisotropies in the Dirac cone and opens up a quasienergy gap for in-plane elliptically polarized fields. Analytic expressions are obtained for the renormalized velocities and the quasienergy gap. These expressions are then compared to numerical calculations performed by discretizing the Hamiltonian in a one-dimensional lattice and following a staggered fermion approach, achieving a remarkable agreement. He believes the work may have an impact on the transport properties of topological insulators.