We investigate the electronic structure of (Sr1−xLax)2RhO4using a combination of the density functional and dynamical mean-field theories. Unlike the earlier local density approximation plus Hubbard U (LDA+U) studies, we find no sizable enhancement of the spin-orbit splitting due to electronic correlations and show that such an enhancement is a spurious effect of the static mean-field approximation of the LDA+U method. The electron doping suppresses the importance of electronic correlations, which is reflected in quasi-particle bandwidth increasing with x. (Sr1−xLax)2RhO4can be classified as weakly correlated metal, which becomes an itinerant in-plane ferromagnet (but possibly A-type antiferromagnet) due to Stoner instability around x = 0.2.