We report preliminary results on the nuclear dependence of R = σL/σT in the deep inelastic electron scattering from deuterium, iron, and gold nuclei. In the x, Q2 range of 0.2 ≤ x ≤ 0.5 and 1 ≤ Q2 ≤ 5 (GeV/c)2, the average RFe - RD is 0.03 ± 0.02 (stat) ± 0.06 (syst); the final systematic errors are expected to be reduced to ± 0.03. The results indicate that there are no significant spin-0 constituents or higher twist effects in nuclei as compared to free nucleons. Models for the EMC effect with significant nuclear dependence of R are ruled out. The discrepancy, at low x, between CERN and SLAC results for the cross section ratio σFe/σD cannot be attributed to a nuclear dependence of R as suggested by some authors. The kinematic variation of RD with x and Q2 in the SLAC energy is in agreement with the predictions of QCD with the addition of target mass effects.