Poodles are not great for keeping fleas away. As pups, they are prone to allergic reactions, which can cause itching or hives that can lead to scratching or even hair coat loss, and these health conditions will only attract fleas more than your pup's fur.
Your pup may need veterinary treatment for allergies to help with any skin issues, but until then you might want to invest in some good flea control products like Frontline Plus or Advantage II - especially because you can find cheaper prices online than at the vet...