An application was made so that limitations would be imposed on how the iconic construction in Manchester, which has been in use since 1982, could be altered when the ITV soap moves to the MediaCityUK complex at Salford Quays next spring.
English Heritage said that although the Corrie set is "certainly unusual", it is not historic enough to qualify as a monument and receive protection from being torn down.
"The criteria against which we must assess the architectural significance of buildings - or in this case, a television set - is extremely strict," a statement to BBC News read.
"The oldest buildings [on the set] are just less than 30 years old - and most do not have interiors and therefore exist as facades, most of which have been altered.
"The set as it stands today is an active reminder of the long-running television programme, rather than a survival of an earlier era of television productions."
However, the organisation supported the idea that local groups could "care for" the set and "allow Corrie fans from all over the world to visit and enjoy it".
ITV is considering all bids for the plot where the Corrie set currently resides. It has been suggested that the site could function again as a tourist attraction, as it did between 1998 and 2001.
It was confirmed in April that Coronation Street's current set will not be preserved by the neighbouring Museum of Science and Industry.