After the choice of the Morse (i.e., solvable) potential, the Dirac's radial equation (in a specific form reducible to the single Schroedinger-type equation) is considered in its approximate version (due to Pekeris, from 1934). Then it is solved numerically, using the iterative method of ref. [16]. The available results of ref. [12] are reproduced and their minor error is detected and corrected. MR2396221 Bayrak, O.; Boztosun, I. The pseudospin symmetric solution of the Morse potential for any $\kappa$ state. J. Phys. A 40 (2007), no. 36, 11119--11127. 81Q05 (81V35) 22@