Prince Charles has been among critics of the library building
People have until the end of the day to give their views on whether a city landmark should be listed.
English Heritage say Birmingham Central Library, in Chamberlain Square, is of national significance and meets its "strict criteria for listing".
But many people say it is unattractive and the city council wants it replaced with a £193m library and cultural hub.
A report will be passed to the government who will decide on whether the 1974 building will be listed.
Last week it was revealed that three construction firms had been short-listed to build the new library.
Carillion, Laing O'Rouke and Sir Robert McAlpine Ltd have to submit a tender by 1 August to construct the new building in Centenary Square.