A particular choice of the time function in the recently presented spherica
l solution by Dadhich(1) leads to a singularity free cosmological model whi
ch oscillates between two regular states. The energy-stress tensor involves
anisotropic pressure and a heat flux term but is consistent with the usual
energy conditions (strong, weak and dominant). By choosing the parameters
suitably one can make the model consistent with observational data. An inte
resting feature of the model is that it involves blue shifts as in the quas
i steady state model(2) but without violating general relativity.