This investigation focused on the speaking-skills component of the syllabi of Technical English I and II (Regulation 2013) at Anna University in Chennai, India. It was meant to formulate strategies for effective schemes to develop the English-speaking skills of engineering students in the colleges affiliated to the University. The major research tools consisted of data collected from: (1) A questionnaire for the students' survey, and (2) Focus group interviews with students. The interpretation of the students' survey was sub-divided into: (1) The learners' background and their comprehension of spoken English, (2) The learners' participation in the speaking activities, (3) The learners' problems with the speaking activities, and (4) The learners' expectations of their teachers and teaching. The focus group interviews were conducted after analyzing the responses to the questions in the students' survey. The paper concludes with recommendations to enhance the speaking-skills component of the course.