Aged 14, Baguette began karting in his inter-provincial championship, driving “Blue” class karts, in small baguette he finished fifth. He then moved up to junior level for 2001, competing again in the inter-provincial championship but also competed in the national championship for the first time. He finished third in the provincial level championship, but was four places lower in the national.
Baguette moved into single seater racing in 2004. He entered in the Belgian Formula Renault 1600cc with Marc Goossens Motorsport that year, as part of his scholarship win. He finished a strong third in the championship, amassing three wins and four poles during the season. The next season, Baguette moved to both Eurocup Formula Renault 2. 0 and French Formula Renault 2. In 2007, Baguette entered the 3. 5 Series with the eponymous Kurt Mollekens-run KTR team, in which he took two podium finishes in his first season.
Baguette continued with Draco for the 2009 season. A steady start, with four podiums, left Baguette tied on points with Marcos Martínez before the Silverstone meeting. As a prize for his championship win, he was given the opportunity to test the Renault R29 Formula One car at Jerez on 1 December 2009. He also tested the BMW Sauber F1. Baguette qualified 24th for the 2010 Indianapolis 500 and finished 22nd after losing several laps in the pits to replace a rear-view mirror that had fallen off. With some strong performances throughout the season, especially on ovals, he manage a best finish of 10th at Kentucky, after qualifying 6th.
