A survey by the Department for Culture, Media and Sport suggests local authorities, housing associations and other 'social landlords' are upgrading communal television systems for digital television.
But the report says there is need for further progress since less than 20% of social landlords have completed upgrades for all their communal TV systems.
According to the NOP World survey, 83% of social landlords have either made plans or started to upgrade television systems to digital.
Broadcasting minister Lord McIntosh said: "The Digital Television Action Plan highlighted the conversion of communal TV systems as a key challenge in the move to digital-only broadcasting.
"It is encouraging that the social housing sector has started to act and is making preparations to ensure residents have access to digital TV services.
"Ensuring the timely digital conversion of communal housing is something we will need to follow closely as plans for digital switchover are implemented.
"We hope that the extensive work and relationship-building between the broadcasting industry, Government and the housing sector has helped to communicate accurate information about switchover.
"I urge the housing sector not to wait for an announcement on switchover to act, as we know now that digital switchover will happen. They should act sooner rather than later."
The report says social landlords have been providing tenants with communal television services for at least 40 years. Upgrading systems to digital began soon after digital broadcasting began in 1998.
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