An eikonal treatment is given for charged-particle potential scattering in the presence of a laser radiation field for the case in which the collision time is much smaller than the radiation field period. It is shown that the presence of the field adds a new phase shift to the field-free eikonal phase shift. Different expressions are derived for the transition probability to obtain i) after the proper limiting passages both the field-free eikonal and FBA results, and ii) laser field-dependent corrections to them. An alternative derivation of the transition probability is also given, based on a treatment due to Henneberger and Shatas, emphasizing that the present quasi-static approximation, along with similar treatments available in the literature, implies two distinct time scales: that of the variation of the radiation field and that of the transition of the quantum system involved in the scattering process. With respect to the first time scale, the collision event is assumed to take place instantaneously; on the contrary, the average collision time is taken to be sufficiently large to neglect the effect of the switching-on of the interaction. The proper limiting passages and substitutions are stated to obtain from a well-know low-frequency result one of the main results derived within the quasi-static approximation.