Pippa's representatives has been contacted for comment.
It comes after a tough few weeks for the family following allegations of rape against her father-in-law David Matthews. He strenuously denies them, calling the claims "untrue and scandalous".
The Duchess of Cambridge "could not have been more delighted" when she heard the news, it is reported.
Kate herself is pregnant with her third child and was reportedly the first person to be told after James Matthews.
A friend apparently said the news had provided "much-needed happiness and light relief" to the family.
The couple married in May last year. Pippa chose St Mark's Church, Englefield, Berkshire, as the venue, seven miles from her family home.
She beamed with happiness as she displayed her figure in a fitted guipure lace gown by the British couturier Giles Deacon.
James Matthews is the brother of former Made In Chelsea star Spencer Matthews, who served as best man during last year's wedding.
Pippa's husband worked in Eden Rock Capital Management, named after his parents' luxurious hotel, Eden Rock, on the Caribbean island of St Barths.