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In most reactive CFD codes, the set of resolved governing equations is not compatible with the original formulation of the "Flame Prolongation of ILDM" (so-called FPI) tabulation technique. In the absence of an explicit continuity equation, the total mass conservation may be expressed implicitly, through the transport of each species. The corresponding reaction rates are then to be evaluated in the FPI database. With this procedure, any chemical source term perturbation often results in very poor predictions of the flame inner structure. In the present work, we propose a chemical-time based formulation aimed at correcting the table interpolated species reaction rates. The very good agreement obtained by this modified approach on an elementary 1D premixed laminar flame bench-mark validates the effective improvement of the FPI model.