Hammersmith & Fulham Council is working with Stanhope, the developer partner in its housing company to replace Edith Summerskill House on the Clem Attlee Estate.
The 17-storey Fulham block would be demolished and replaced with a new block of 133 homes which would be 80% social rent, and 20% for low-cost home ownership or rent.
The partners are consulting on the plans.