Suffolk County Council says it's on target to have superfast broadband in 85% of homes in the county in two years.
A report by the National Audit Office said Suffolk was one of four areas in the country that would fail to meet a government target of 90% having high-speed internet access.
Suffolk says more than 8,000 properties would have better broadband by Christmas 2013.
The rest of the programme would be delivered by 2015 with every household having access to at least 2 MegaBits per second download speed.
Mark Bee, Leader of Suffolk County Council, said: "We consulted with residents and businesses about the kind of broadband service they wanted. They told us that they would rather we rolled out superfast broadband to 85% of the population with the remaining 15% receiving an improved broadband speed."
More top news
After a dull start, some sunny spells are likely, mainly in the west. Cloud will again thicken from the east later
International ballet star Gary Avis goes back to his Suffolk roots to watch next generation of performers.
Thousands of people turned out to party in Luton as the town staged its 40th carnival.