M.O.
I think all you can really do at such a young age is start teaching her to play independently and not running to her the second she wakes, fusses, etc. To help train her, I would suggest putting her in her high chair, strapped in, and giving her some crackers or puffs to eat, and then unload the dishwasher. Or give her some toys to play with and leave the room for a little bit to get and fold laundry.
If she's already mobile - crawling or walking (perhaps it's a little early) - then she can come "find" you.
We have an 11 mo old. He leaves me all the time to go play in the other room, push a car around, etc. Sometimes I leave him and go fold laundry in the kitchen. When he fusses or 'calls' me, I simply say, "Here I am. Come get Mama!" I don't stop what I'm doing and go pick him up.
Also, for your own sanity, if you can, get your DH to start helping more with the bedtime routine. As your belly grows you'll have less room on your lap for your daughter. Getting Daddy to take over after dinner can be a lifesaver. Let him do the bath-book-bed routine. Let them become "buddies" as you probably have less energy and will soon need to have some recovery time and spend time with your newborn. That way instead of your daughter feeling "rejected" by you, her routine stays the same when the new sibling comes.
Finally, maybe get her a plastic baby doll. Teach her to "be gentle", "give the baby kisses", etc. As she gets older she may play with it more...then she can take care of her baby, while you take care of yours. This works a bit better for an older sibling, but it's never too early to start teaching your daughter how to act around another baby. Of course she's going to be curious about her sibling, and that will involve poking, hitting, etc. So at minimum I'd start working on "gentle" touches now.