The paper introduces the trend of college EGP course reform, analyzes the teaching situation of EGP teachers to instruct ESP branch courses, and tries to tell whether EGP teachers are competent to deliver ESP courses. Paper holds the opinion that what ESP teachers confront is the English language application in the professional area instead of the professional knowledge itself. The paper suggests that a certain kind of knowledge of EGP Teachers have to acquire if they are to be competent to deliver the ESP courses: professional language knowledge, professional logic language and fundamental ESP professional knowledge. The paper finally advises EGP teachers to be familiar with a few aspects of fundamental professional knowledge in construction engineering.