According to the regulations of the National Master's Admissions Guide, the postgraduate entrance examination only requires a bachelor's degree or equivalent, and there is no hard and fast rule for Band 6.
Of course, some famous universities or some majors have certain requirements for students' English scores. If you want to get an authoritative reply, you'd better look directly at the latest master's enrollment brochure and enrollment professional catalogue of the colleges you apply for.
However, if you fail to pass CET-4 and CET-6 during your undergraduate course, you still need to pass CET-6 after graduation, so you should pass it as soon as possible.
It should be noted that some famous colleges and universities will require you to pass a certain level of English test because of professional needs, such as Northwest A&F University. Candidates applying for humanities and social sciences majors must pass CET-6 with a score of 426 or above, or obtain CET-4 or TEM-4 certificate.