Early induction help please!!!

So I went for my 37 week scan today and they said my baby has dropped below the minimum weight line again weighing in at only 5lb 11oz so I got sent to the assessment centre where a Dr reviewed the scan and booked me in for an induction exactly a week from today. This is my second baby and was induced with my first so kinda gutted I again won't get to experience going into labour naturally but just cannot wait for her to arrive now. Anyone else been told their baby is this small and been induced a week later? Do I need to get tiny baby clothes for her? Help please!!!