The network is made up of 500 digital panels at the entry of Coles Express Stores nationally.
The sources said The Media Shop made three of its four sales team redundant last week, with only the head of sales, Angelo Poli, reported to still be with the business.
AdNews understands that only the Coles Express contract that The Media Shop operates through the IGNITE network of its portfolio is being sold, with other parts of the privately-owned out-of-home business remaining with TMS.
VMO already owns an on-the-go outdoor TV network that operates in key locations in more than 600 premium petrol stations and convenience stores. This network of digital screens at BP Petrol Stations was started by TMS CEO Ronnie Navani and acquired by VMO in 2015.