Never felt love like this: Tamara Ecclestone and her baby girl Sophia

The Formula 1 heiress and her husband Jay Rutland welcomed their first child on Monday and are completely overwhelmed by the love they feel for their new arrival.

socialite shared the news by posting an adorable snap on Instagram of her looking lovingly at her newborn daughter from her hospital bed.

She captioned the image: "Welcome to the world Sophia, our beautiful baby girl, born yesterday 6lb 9oz. Proudest day of our lives, never felt love like this. X"

Tamara later added a picture of proud dad Jay posing alongside her and Sophia, adding, "Three musketeers forever. Love my little family x"

The couple got engaged in Dubai last year after a whirlwind four-week romance, and celebrated their union with a beachside bash in St Tropez last summer.

The 29-year-old brunette was treated to a lavish pink-themed baby shower by her younger sister Petra Ecclestone earlier this month held at The Orangery at Kensington Palace, London.

Tamara previously admitted she was keen to become a mother as soon as possible so her baby could be as close in age to Petra's daughter Lavinia, who is currently 11-months old.

Tamara Ecclestone attends the "Cirque Du Soleil: Quidam" opening night at the Royal Albert Hall in London, England. (Photo by Getty Images)
She said: "I want them to be as close as me and my sister. And I would just love to have a little girl who would be super close to Lavinia."

Petra and Tamara Ecclestone attend the Amber Fashion Show and Charity Auction at Le Meridien Beach Plaza Hotel in Monaco, Monaco. (Photo by Getty Images).