Developers already have planning permission to rebuild the tower and create a residential development on the Manchester Road site in Broomhill.
Now they want to change the original plans to add another two floors to the height of the tower – taking it up to 15 storeys high.
The development will still contain 103 one, two and three bed apartments with a swimming pool and gym on the ground but – along with the new floors – a main block next to the tower would be removed and replaced with a landscaped podium deck with car parking underneath.
Axis Architecture, on behalf of developers Blenheim Land and Properties, says the extra floors are needed to make the scheme financially viable.
It said: “This application deals with amended proposals for the tower, adding an additional two floors with the development to include the formation of a car park with landscaped podium deck above, and the erection of a three storey building containing management suite, swimming pool and two residential units
“This follows the omission of the 4/5 storey main block building, previously to the side of the Tower and basement parking under.
“Previous pre-application discussions have identified the level of additional development required to the tower to ensure the scheme is viable and to secure funding for the construction phase.
“This followed a revised tendering process as a result of previous build costs being significantly over budget and the subsequent appointment of a new main contractor.
“While the additional two floors will add height to the tower, the overall massing is still regarded as a significant reduction following the removal of the 4/5 storey main block.”
Hallam Towers opened in 1965 and its white tiered shape became instantly recognisable on the skyline as it hosted famous bands and footballers.
The hotel closed in 2004 and since then there have been various plans to develop the site. The tower was demolished in autumn 2017.