No, I think a little while means a month and the pup will be about 6-7 weeks old. Still WAY too young to bring a pup home on so many levels. But this pup is coming from a work friend not an ethical breeder so they probably don't even know the serious health dangers or the result of taking pups away too soon and thus not giving them the socializing skills they need to be happy, healthy dogs. It looked to me from the post like the mating was accidental - I would hope so since who would mate a Chi and a Maltese???
We really aren't saying this to be mean or hurt you but I would ask the owners to keep the pup until he's 12 weeks. If they really have the pup's best welfare in mind, they will. If not, I would question how that pup's health will be. If you read some posts you can see the heartbreak of sick puppies who aren't sold by ethical breeders. It can happen to any pup of course but at least thought and precautions are taken to breed a healthy pup. I'm assuming he's being given for free, but the future vet bills could well make up for that free pup. If you do take him early or late, please read posts about new puppies and what you need and need to do. I wish you best of luck, really. BTW, which dog was the dam?