Due to a spell out of the game due to injury, Jamie missed out on going head-to-head with Simon during his time at Liverpool, a period when the Welshman was putting his marker down among the Premiership's outstanding midfield talents.
Nowadays, of course, Jamie witnesses the development of the 22-year-old first-hand in training and matches and suggests he well on the way to becoming the complete midfielder.
"When you haven't really come face to face with many of the players, he is the one that has really caught my eye since I've been here," said Jamie of Simon.
"He's got a great engine, there is not really a part of his game that is missing.
"I've been very impressed with him, as has Mark Hughes. That is the highest level you can play, turning out for your country. He's scored two in two and now has four goals already this season."
Jamie also takes into account the fact that Simon has excelled in a number of midfield roles, including the wing-back position.
"He can do every thing - a complete player. He's only going to get better because he's got a great attitude as well."
As a midfield general of some seasons standing, Jamie Redknapp is perfectly positioned to assess the attributes of Simon Davies - and he likes what he sees.