The 37-year old fashionista is said to have insisted that the Beckham brood is now "complete" after the birth of Harper, with David allegedly agreeing with Posh Spice.
It is thought that VB has chosen to put a stop to their family following a "difficult pregnancy" which gave her back pain and bunions.
A source told the tabloid: "Victoria is determined not to have to go through that again. With three great boys and now a beautiful girl, Victoria is insisting their family is complete."
Speculation over why David and Victoria decided to give their daughter the unusual name of Harper Seven is rife online, with The Sun claiming that she is named after their sons favourite TV character, Harper Finkle, from Disney show Wizards Of Waverly Place.
A pal of the Beckham's told the newspaper: "The boys love Wizards Of Waverly Place - and have been very vocal in helping to name their new sister. David and Victoria think it is a lovely name. The whole family is pleased with the choice - the boys are very happy."
Explaining their choice of middle name, the insider continued: "Seven is something they had talked about. They were still not certain when the baby was born but it all seemed to fall into place."
"She was born in the seventh month in the hour of seven and weighed seven pounds. It just seemed right. David is keen on the meanings and power of numbers. We all hope it will bring her luck."