The 43-year-old and wife Beyonce welcomed their first child Blue Ivy into the world earlier this year and friends say he is completely smitten with the tot, reported Daily Star.
"Jay is the best dad. Everyone knew he was going to be in love with the baby but his friends were shocked by how gooey he got when he became a father," a source said.
Jay Z, who had a troubled, underprivileged upbringing, recently said he does not want his daughter to be tough and instead hopes she grows to be a loving and respectful person.
"She doesn't have to be tough. She has to love herself, she has to know who she is, she has to be respectful, and be a moral person," he had said.