The 32-year-old musician gushed that being a dad has "been amazing" but Joe admitted that "naps are nice".
Previously, Sophie called being a mother to her daughter her "favourite
job".
On Instagram, she said: "I'm so grateful to the two loves of my life for making me a mama @joejonas and my beautiful baby girl," to mark her first Mother's Day.
According to a source, the pair were "already" considering adding to their brood in November 2020.
They said: "They are really excited to expand their family'', continuing "having the baby has made them really close and want to have a large family together".
Recently, the husband and wife became an uncle and aunt again when Joe's bandmate and little brother Nick Jonas, 29, and his wife Priyanka Chopra, 39, "welcomed" a baby last year.
In a statement, they said: "We are overjoyed to confirm that we have welcomed a baby via surrogate. We respectfully ask for privacy during this special time as we focus on our family. Thank you so much."