The Saturdays singer and Strictly Come Dancing contestant posted the adorable picture, which also features her friend Dan Darke, on Instagram on Sunday evening.
"Little man's not walking but got the selfie down," she captioned the image. "Priorities and all that."
Parker Bridge will turn one on 18 October
Parker's selfie comes a week after he starred in Frankie's throwback photos to her wedding day.
The 25-year-old released the first pictures from her and Wayne Bridge's nuptials, including one of the proud parents kissing their son on the head.
"What an amazing day," she captioned a picture of herself walking hand-in-hand with her footballer husband. "Made even better by this little man," she added alongside another.
Little Parker played a starring role when Frankie and Wayne tied the knot in July 2014
As Parker prepares to celebrate his first birthday, mum Frankie has been showing off her dancing skills on Strictly.
On Saturday Frankie became the first celebrity of the latest series of the show to score ten points.
The London-born star and her partner Kevin Clifton beamed as guest judge Donny Osmond awarded them the top result, putting them first on the leader board.