It is well known that a direct sum of CLS-modules is not, in general, a CLS-module. It is proved that if $M=M_1{oplus}M_2$, where $M_1$ and $M_2$ are CLS-modules such that $M_1$ and $M_2$ are relatively ojective (or $M_1$ is $M_2$-ejective), then M is a CLS-module and some known results are generalized.