[citation needed] After Davenport's graduation, his mother advised him to write to John Cleese requesting work on the set of his upcoming film, Fierce Creatures, so that he could gain experience behind the camera.

After the production of Fierce Creatures was completed, Davenport found an agent who secured him an audition for the role of Miles Stewart in the BBC television drama series This Life.

Since then Davenport has played roles in many successful films and TV series, including The Talented Mr. Ripley, Coupling and Ultraviolet, as well as the box office hit Pirates of the Caribbean: The Curse of the Black Pearl, and its sequels, Dead Man's Chest and At World's End.

During his career Davenport has also performed voice-overs, having narrated the audio versions of John Buchan's The Thirty-Nine Steps and recorded parts in Anthony Burgess's A Clockwork Orange.

In 2007 Davenport was cast in Swingtown, a period and relationship drama for CBS about the impact of sexual and social liberation in 1970s American suburban households, with story arcs involving open marriages and key parties.

Davenport starred as the replacement singer in the video for Snow Patrol's single "Called Out in the Dark", released on YouTube on 17 August 2011, alongside Tara Summers and Gary Lightbody.

[6] 2018 saw Davenport's Broadway debut playing the Earl of Warwick in a revival of George Bernard Shaw's Saint Joan starring Condola Rashad.