The midfielder has taken over from Steven Gerrard and Redknapp has advised him to keep on doing what he was doing before.
Brendan Rodgers named Henderson as captain this summer, with the former owner of the armband Steven Gerrard having departed the club for the MLS and LA Galaxy.
It represents an upgrade of his duties from last season, having spent a year as vice captain to Gerrard, and a clear indication of the impressive turnaround his Anfield career has taken since he arrived at the club.
Many have offered their advice on what he should and should not do of course, but Redknapp has advised him to just keep doing what he was doing previously.
“I’m sure it is something that Jordan is immensely proud of already,” he told liverpoolfc.com.
“There’s no doubt the armband does bring extra responsibility. But my advice to Jordan would be not to change what you were doing in the first place – that’s why you were made captain.”
Own style a better decision for Henderson
The temptation for Henderson, of course, is to copy Gerrard’s style as captain given how successful the legendary midfielder was in the role.
However, it seems he is determined to put his own stamp on the role instead, with that likely to be a better route for him to take, and one that is sure to earn him the respect of the players at the club.
A big help for him will be if Liverpool can win their first trophy under Rodgers this season with him as captain and put Gerrard firmly at the back of everyone’s mind.