Baby engagement/can it come soon?

Stacey • 30🇦🇺 | Wife & Mum | 💙 Feb 19 | 💙 Dec 20

Had my 38w appt today, baby is head down but only 3/5 engaged so no induction offered and have another appt next week - can labour still begin without baby being fully engaged or can it drop by next week and come soon? I really don’t wanna go over! Due 10th Feb