mommys with older children

Did you find that closer to your due date (im37&4) your older children (daughter is 5) got clingy?? Like I'm a SAHM now, and she doesn't start kindergarten until this year so she stays home with me. Recently, she's been all over me, every time we are on the couch, she wants to sit right next to me or "cuddle with her brother" , when we take a nap during the day she's started to want to fall asleep on my belly to "be next to her brother", if she's sitting with her dad and then I sit down she moves right next to me, if I'm in the bath, she wants to be in the bath.  Just looking to see if this is a normal thing?? I'm hoping this is her like 6th sense and she can tell he will be here soon so she's getting all of mommy while it's still just her!