Recent reports have speculated that the pair will tie the knot before the summer is over, but Jones has now poured cold water on the claims.
He told Metro: "That's news to me. Where did you read that? There is absolutely no wedding, let me assure you."
The couple welcomed the arrival of baby Beau last year, but have no plans to try for another child at present.
Jones confirmed: "We are just enjoying the first year of our little boy together."