Tiit Sukk made his feature film debut as Arnold in the 2001 Peeter Simm directed joint Estonian-Latvian comedy "Head käed". This was followed by an uncredited role in the Kaaren Kaer directed 2005 comedy "Malev"; a skewed interpretation of Estonia's history set in the year 1208. In 2006, he had a small role as Director in the Jüri Sillart directed melodrama "Kuldrannake", which was adapted from the Hans Luik play "Tõe hetk". The following year, he appeared in the small role of Hunt's Partner I in the Asko Kase directed "Hundi agoonia". In 2008, he appeared as Indrek in the Asko Kase directed period drama "Detsembrikuumus", set during the 1924 Estonian coup d'état attempt.