There hasn't been an official announcement, but The Sun has a photo from yesterday of James and wife Anne-Marie with their new son in London. You can head on over to The Sun for the photo.
In some more related news it appears that James has been offered a role in the screen adaptation of David Mitchell's 2004 novel Cloud Atlas. The book focuses on six main characters and spans across thousands of years - from the 19th century to the distant future. Other actors offered roles include Tom Hanks, Halle Berry, Ian McKellen, and Natalie Portman.