This paper presents a study that looked into the structuring of tasks that may foster oral fluency in an intensive eight-week course with 25 young adult and adult learners of English as a foreign language in a format of tutoring sessions for conversation. The action research involved two teachers and a research advisor, coauthors of this paper. Researchers identified two drawbacks: learners claimed that instruction was not helpful for them to use English outside the classroom, and that they had difficulty in retaining information in long-term memory. With surveys, interviews, observations and videos, the research team gathered data on students' progress, goals, performance and beliefs. The pedagogical intervention with "Task-Supported Teaching" (TST) produced these results: a) TST promoted cooperation b) the degree of participation correlated with the students' purpose for learning English, and c) TST raised awareness on the acquisition of speaking.