A source also told Page Six the former couple had reached a joint agreement regarding Scottie’s upbringing.
Davidson and Hewitt introduced their daughter to fans shortly after her birth by sharing a series of family photographs on Instagram.
Hewitt wrote: “My best work yet, I am absolutely overflowing with love and gratitude and disbelief.”
Davidson added: “Wu tang forever”.
The couple chose not to reveal Scottie’s face publicly, covering it with a white heart emoji in each photograph.
Since the separation, Davidson has been photographed spending time with his daughter, including taking Scottie for walks in a stroller through a New York City park.
According to Page Six, a source previously said Davidson had continued paying expenses connected to Hewitt and Scottie following the split.
The source said: “… all he wants is for Elsie to be happy and in a good place”.
Davidson also spent Father’s Day with Scottie and his mother, Amy Waters Davidson, according to People, visiting the American Museum of Natural History on Manhattan’s Upper West Side.
Hewitt recently celebrated Scottie turning 7 months old with photographs shared on Instagram showing the pair wearing matching pink gingham outfits during a picnic.
She wrote: “7 months of scottie the love of my life.”
Scottie is named for Davidson’s late father, Scott Matthew Davidson, a New York City firefighter who was killed while responding to the terrorist attacks of September 11, 2001.
Pete has frequently spoken throughout his career about the profound impact his father’s death had on his life and comedy, with the loss explored in projects including The King of Staten Island.
Rose is Hewitt’s middle name.
Davidson remains one of comedy’s most recognisable figures after eight seasons on Saturday Night Live, while his recent acting work has included Bupkis, Bodies Bodies Bodies, Transformers: Rise of the Beasts and The Pickup.