Nanoparticles of hexagonal omega phase in bcc-Ti(Mo) single crystals (beta phase) occur due to a diffusionless athermal beta to omega transformation and they grow during follow-up ageing at elevated temperatures, while the alloying atoms (Mo in our case) are expelled from the nanoparticle volumes. We investigated the Mo content in growing omega nanoparticles by anomalous X-ray diffraction and demonstrate that the Mo expulsion from the omega phase is not full; a thin shell of a nanoparticles where the beta to omega transformation is not complete still contains a considerable amount of Mo atoms.