While still at school, Robinson first appeared on stage in the title role of Little Voice in The Rise and Fall of Little Voice, by Jim Cartwright, at the Courtyard Theatre. Her role included imitating the voices of Judy Garland, Marlene Dietrich, Billie Holiday, Edith Piaf and Julie Andrews. Geraldine McNulty appeared as her mother, Marie Hoff. She then went on to perform in the last two series of Dead Ringers on BBC2. She occasionally appeared as an impressionist but mostly played characters in various sketches to support the stars: Jan Ravens, Jon Culshaw, Mark Perry, Kevin Connelly, and Phil Cornwell. In the Dead RingersCBBCspin off 'Spoof!', Robinson appeared as Supernanny, Charlotte Church, Konnie Huq and Billie Piper among others. Other appearances include the CBBC talent showThe Slammer as part of an impressions double act and as a special guest on Blue Peter. Robinson provided female impressions on Headcases, an animated satirical show similar to Spitting Image, which appeared on ITV from April to June 2008 on Sunday evenings. In 2009, she appeared as a number of characters in several Big Finish ProductionsDoctor Who audio plays. Robinson's TV appearances include Scoop and Comedy Cuts for ITV2 and Gigglebiz. She appeared in various sketches in the first two series of The Impressions Show with Culshaw and Stephenson. In 2010, director Angie De Chastelai Smith collaborated with producer Charlie Hanson at ITV to make It's Paul Burling! in which Robinson co-starred as the main female impressionist. Her impressions included Cheryl Cole, Stacey Solomon and Kerry Katona. The show, which aired in December 2010 to a television audience of 3.7 million viewers, was a one-hour Christmas special on ITV following Burling's success on talent show BGT. On radio, Robinson was part of Newsjack for BBC Radio 7, and has also recorded numerous episodes of 15 Minute Musical, The Castle, The Secret World, and radio sitcom, The Music Teacher. In late 2012, she reprised the role of Little Voice in the UK touring production of The Rise and Fall of Little Voice, alongside a cast including Beverley Callard, Joe McGann and Ray Quinn. She participated in the eleventh series of Britain's Got Talent and made her way through to the live semi finals, where she finished in 5th place, missing out on one of the three available spaces in the final. As a voice-over artist, Robinson is the lead voice on Horrible Histories along with Jon Culshaw. She has completed 52 episodes of new animation Bat Pat, playing one of the lead roles; Leo as well as many other characters. She has voiced many promotions on Disney Channel and Disney Junior. Robinson has worked on many video games including Anno 1404, Venetica, ' and ' in which she played the role of Pirate, Patty Steelbeard. Jess plays popular character of Ivo in Book of Unwritten Tales. In 2016, Robinson appeared as a panelist on The Dog Ate My Homework. In 2017, Robinson became a voice artist on the CBBC mockumentaryThe Zoo and on animated Noddy series Noddy, Toyland Detective. More recently in 2018, she made several higher profile television appearances on The Imitation Game, Don't Hate The Playaz for ITV, and The Last Leg.