Summary: An analogue of the Wedderburn Principal Theorem (WPT) is considered for finite-dimensional Jordan superalgebras \(\mathcal{F}\) with solvable radical \(\mathcal{N}\), \(\mathcal{N}^{2}=0\), and such that \(\mathcal{F}/\mathcal{N}\cong\mathcal{M}_{n\mid m}(\mathbb{F})^{(+)}\), where \(\mathbb{F}\) is a field of characteristic zero. It is proved that the WPT is valid under some restrictions over the irreducible \(\mathcal{M}_{n\mid m}(\mathbb{F})^{(+)}\)-bimodules contained in \(\mathcal{N}\), and it is shown with counterexamples that these restrictions cannot be weakened.