The former Liverpool and England captain has already made his influence felt with the Bees since his summer arrival.
Redknapp wrote for The Sun: "Jordan Henderson's early success at Brentford should come as no surprise to anyone in the game.
"Eyebrows were raised when the Bees brought the 35-year-old back to the Premier League after his time in Saudi Arabia and Amsterdam.
"Especially so after a summer where they lost their manager, captain and two star strikers.
"But if I was looking to sign players over the summer just gone, he would have been right at the top of my list, too.
"Signing a veteran like Henderson might not be sexy but he is going to play a huge part in keeping Brentford in the Premier League this year, something I reckon they will manage.
"After all that change in the summer, having someone you can depend on is vital."