As an AI language model, I can suggest some innovative ways to grow baby clothes sales fast if you are selling them online:

1. Leverage social media platforms: Social media is an excellent tool for promoting your baby clothing business. Use Instagram, Facebook, Twitter, and other platforms to showcase your products and engage with potential customers. You can also collaborate with influencers to reach a wider audience.
2. Create bundles: Offer bundled deals that include multiple items for a lower price. For example, you could offer a package deal that includes a onesie, pants, and a hat at a discounted price.
3. Utilize email marketing: Email marketing can be an effective way to stay in touch with your customers and keep them updated on new products, promotions, and sales. Build an email list and send regular newsletters to keep your customers engaged.
4. Offer personalized products: Consider offering customized baby clothes with names or initials embroidered on them. Personalized products can be a big selling point for customers looking for unique gifts or items.
5. Partner with other baby-focused businesses: Look for opportunities to partner with other businesses that cater to parents and babies, such as baby product manufacturers or parenting blogs. Cross-promoting your business with other complementary brands can help increase visibility and sales.