In 1993, Glover started her BBC career as a filing clerk on various local radio stations including BBC Somerset Sound, Humberside, Northampton and GLR. She won a silver Sony Award for her GLR breakfast show presented with Gideon Coe. In 1996, she joined BBC Radio Five Live, where she spent seven years as a key broadcaster in news and political coverage. She also presented Travel Show on BBC2 from 1997 to 2000.
In 2000, Glover travelled the world visiting notable radio stations, which resulted in the book Travels with my Radio: I am an Oil Tanker (ISBN 0-09-188274-5). The title reflected the hazards of live broadcasting with Dickie Arbiter's opening statement I am an oil tanker, Dickie Arbiter is on fire in the Gulf. The radio stations documented in the book include a temporary BBC station for the Euro 2000 football tournament, run from a cafe in Belgium, an English-language station in Geneva, a station run by Irish UN peacekeeping forces in Lebanon, and Montserrat Radio which broadcast throughout the 1996 Soufrière Hills volcano eruption.
Following a period of maternity leave, she became the host of BBC Radio 4's Saturday Live from its inception in 2007 until 2011. In May 2008, Saturday Live won Best UK Speech Programme at the annual Sony Radio Academy Awards. In a press release of 17 March 2011, it was announced that Glover had decided to leave Saturday Live and that her replacement host would be Richard Coles. Her last programme was scheduled for 2 April 2011 but as she lost her voice owing to a throat infection on that day, her actual last programme was on 19 March 2011 (Suzy Klein presented the programme on 26 March 2011).
Glover returned to Radio 4 with "The Listening Project", a joint initiative by the British Library and BBC, which started on 29 March, 2012, aiming "to capture the nation in conversation".
Glover grew up in Hampshire, with her mother Priscilla and sister Isabella (Izi), whilst her father was in Hong Kong establishing a business. Her parents eventually separated. She attended St Swithun's School, an independent girls' school in Winchester. She studied classical civilisation and philosophy at the University of Kent from 1987 to 1990.
Glover married Rick Jones, a Google executive in April 2014. They have two children, a son, Hector, born in January 2006, and a daughter, Honor, born in August 2008.
- Jury, Louise. (2006-08-05) Fi Glover: Home to roost. Independent. Retrieved on 2012-01-18.
- "Changes to BBC Radio 4's Saturday Live". Retrieved 2011-03-18.
- Radio 4 People – Fi Glover. BBC (2009-02-12). Retrieved on 2012-01-18.
- Interview: Fi Glover | The rise and rise of little voice. Guardian (2008-01-13). Retrieved on 2012-01-18.
- Sony radio award winners | Media. Guardian (2008-05-13). Retrieved on 2012-01-18.
- | Fi Glover: 'I did think about my career: gosh, what have I done?'. Guardian (2012-04-01). Retrieved on 2014-08-23.
- Class act – the teacher who inspired... Fi Glover. Telegraph (2003-08-10). Retrieved on 2012-01-18.
- Fi Glover at the Internet Movie Database
- Saturday Live
- The listening project: a BBC Radio and British Library partnership