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Continuous wave (CW) triple resonance laser spectroscopy} was used to map the absolute value of the electronic transition dipole moment function $\mu e(R)$ of the $\mathrm{<mrow\; data-mjx-texclass="ORD">7</mrow>}$Li$\mathrm{<mrow\; data-mjx-texclass="ORD">2</mrow>}$ A-X system. In this work, the transition dipole moment matrix elements of specific rovibronic molecular transitions were first determined by fitting the observed Autler-Townes splitting spectra. Then by employing the R-centroid approximation, or a multi-variable fit involving higher moments of R, $\mu e(R)$ has been determined within a relatively large range of internuclear distance R. Finally, this electronic transition dipole moment function is compared with the ab initio calculations with very good agreement.