The midfielder says the club must wait until Christmas before deciding if a change of manager is in order.
He spent heavily this summer, bringing in a number of players during the transfer window in an effort to revamp his squad following a frustrating 2014/15 campaign.
There has been much made of the recruitment committee at the club, and Murphy says it is their actions which have cost Rodgers dear at times.
“I’ve harped on about the recruitment at Liverpool, and it’s killed Brendan at times, really,” he told the Colin Murray show.
“I think he’s taken the backlash for the owners and the transfer committee. Yes, he has a say, I’m sure he has an influence with certain players, but I’m sure there are other times where he’s told, ‘no you can’t have him’.”
Give it until Christmas before making a change
With the pressure mounting on Rodgers at Anfield, and the likes of Carlo Ancelotti and Jurgen Klopp being touted as possible successors by the Metro, he has a lot to do in order to turn things around.
However, so far the club seem prepared to bide their time, with many saying that given how heavily the board backed him in the summer, Rodgers deserves a chance to put things right.
And Murphy says they will probably wait until the busy festive period before passing judgement on where they stand and what, if any, alterations need to be made.
“It is now at a point when come Christmas, if things haven’t picked up…there is a time for everyone,” he added.
“But the signings this summer were better than last summer, that’s for sure, so I believe he’s still got enough in that squad, if he can get them on the pitch together, to compete for the top four.”