The family announcement comes after the 23-year-old soccer player, originally from Widsey, begins a new life in France with his partner Harriet Robson.
The couple celebrated their first child's summer birth in July 2023.
According to sources who spoke to the Sun newspaper, their second child was born earlier this week.
Greenwood signed a five-year contract with Marseille in July 2024 after a £26 million fee agreement was agreed between the French club and Manchester United.
Greenwood was previously suspended by United after being arrested in January 2022 for attempting rape and attack.
The charges were withdrawn by the Crown Prosecutor's Office in February 2023.
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