In the video, Gordon said: "And Happy New Year because, guess what? We've got another one coming. Oh my Lord."
Before writing in the caption of the clip: "Exciting news ! Happy new year from all the Ramsay's (sic)"
Meanwhile, Gordon and Tana's baby joy comes two years after the couple suffered a devastating miscarriage in June 2016.
Their unborn baby boy, who they named Rocky, tragically died five months into their
pregnancy.
Taking to his Twitter account at the time, Gordon wrote: "Hi guys, Tana and I want to thank you so much for your support over the past couple of weeks.
"We had a devastating weekend as Tana has sadly miscarried our son at five months. We're together healing as a family, but we want to thank everyone again for all your amazing support and well wishes."
The former 'F Word' star later expressed how their loss brought the family closer together than ever before.
He said: "You realise how lucky you are and you reflect on what you have, how fortunate you are with our remaining children and you remind yourself of what you've got. It's made the family unit even tighter."