Phase one of the project began in summer 2024, with construction taking place on a new library hub, food hall and public square on the site of the former Queensgate Market.
The council expects this to be complete by 2026, with a planned opening in the summer.
Initial plans also included an events space on the top floor of the library, however this was axed in a bid to save money.
The Cabinet meeting will also propose the demolition of the remaining retail units at the Piazza shopping centre to be brought forward to an earlier date in 2026.
This would make way for a new town centre park in the scheme’s third phase.
Turner added: “It’s a really exciting time for Huddersfield. We’re really going to make Huddersfield a place to live, work and play.
“In the next five to 10 years you won’t recognise Huddersfield as it is now. It’ll be a modern, vibrant town in West Yorkshire.”