Noffke, who played one ODI and two T20Is for Australia in 2007-8, has enjoyed recent success as head coach of Brisbane Heat and Queensland Fire, winning the 2019-20 Women's Big Bash League and 2020-21 Women's National Cricket League.
He signed a contract extension last year that runs until 2025 but is understood to have been interviewed for the vacancy created by Lisa Keightley's departure. Noffke is highly regarded in Australian cricket and previously worked as Australia women's assistant coach under Matthew Mott, who became England men's white-ball coach earlier this year.
Jonathan Finch, the director of England women's cricket, interviewed several candidates last week and an appointment is expected in the next 10 days. The job was advertised in September and the successful candidate will start on a three-year fixed term until November 2025.
Charlotte Edwards, the former England captain and current Southern Brave, Southern Vipers and Sydney Sixers coach, has previously ruled herself out of the running.
England are expected to name a squad for their upcoming West Indies tour shortly after a coach is announced.