The Victoria's Secret model gave birth to the couple's first child almost a month ago. E! News learned of the news on April 9, the day she was spotted without a large baby bump in public, and learned they had welcomed a baby girl named Lea de Seine Shayk Cooper.
A source told E! News exclusively Wednesday that being a mother "feels so natural" to Shayk.
"She is such a loving and caring mom," the source said. "She is in bliss. Life is good. She can't keep her eyes off her little girl."
"Bradley is filming [A Star Is Born] now but still is making time for his baby," the source added. "He is just in love. They are both very protective over their baby and are only letting a few close family and friends to see their baby. Irina's family is in town and is helping with the baby. She has help as well around their home."