In 2001, she picked up the role of PC Miriam Da Silva in BBC1's Mersey Beat and an irregularly recurring role in Casualty.
In 2002, Conn made her West End theatre stage debut in three plays in December 2002, after transferring from Stratford-upon-Avon in the Royal Shakespeare Company's Jacobean Season at the Gielgud Theatre – The Island Princess, Eastward Ho! and The Roman Actor.
Conn joined Series Five of the popular BBC One series Down to Earth in 2004.
Conn lives in London. She ran in the 2006 London Marathon.
In early 2008, Conn starred as Miranda Hill in The Palace, as Jessica in Mistresses and as Neela Sahjani in Trial & Retribution.
In 2010 she played Danni Prendiville in the TV series Strike Back.
Conn married her boyfriend of over a decade, actor Jonathan Kerrigan around 2011. They have a son named Oscar, born in April 2012.
In 2014, Conn appeared in a US TV series called The Lottery.