The fresh application will see the huge development, planned for Bishopsgate in the east of the City of London, increased from 43 stories to 47.
The 218m-high tower has won the backing of the Corporation's chief planner Peter Rees, and will go in front of a planning committee next week.
The increase in the height of the tower will comprise three office floors and a larger public restaurant and bar at the top of the building.
However, there are still those opposing the scheme. SAVE Britain's Heritage has called on the Corporation to turn down the fresh application because of the impact it will have on views of St Paul's.
Developer Heron has announced that it will build the project speculatively and, subject to the planning application being approved, enabling works will start in January 2006 with construction starting in 2007.