A resounding 4-0 victory over Everton in the 222nd Merseyside derby at Anfield courtesy of two goals from Daniel Sturridge - who missed a penalty to complete his hat-trick - and strikes from Steven Gerrard and Luis Suarez provided a welcome shot in the arm to their top-four hopes.
And despite being frustrated so far in his attempts to bolster his injury-hit fourth-placed squad the Reds boss believes there is still time to make a significant signing before the window closes on Friday.
"I think we will hopefully do something over the next couple of days," he said.
"I saw some headlines after yesterday's press conference in terms of the manager being angry with the club - nothing is further from the truth.
"We are not just going to get the players we want to get in for a number of reasons.
"Hopefully we can have a major signing before the window shuts and if we can do that we will be set up for the remaining games."
Rodgers felt the performance against their near neighbours was just what was needed to reinvigorate their top-four challenge.
"I think all wins are important but especially against your rivals and psychologically it was a big win and can re-iterate the confidence and belief in the squad," said Rodgers.
"We have to keep our foot to the floor and keep these performances and keep scoring goals.
"This was a massive game. I think we have shown all season we are going to be in contention for fourth place."
Everton boss Roberto Martinez was left to worry over the fitness of striker Romelu Lukaku who injured ankle ligaments in a collisions with Gareth Barry.
"He has his ankle in a cast," said Martinez. "We will assess it but it doesn't look too good at the moment."
Merseyside Police announced after the game it was looking into reports missiles had been thrown from the crowd.
Television showed Liverpool striker Luis Suarez collecting some objects as he prepared to take a corner early in the match at Anfield.
Press Association Sport understands around a dozen coins were thrown from the Anfield Road End - part of which houses visiting supporters - during the first half.
A police statement read: "Officers are requesting CCTV from the stadium and will review any footage as part of inquiries to establish the full circumstances surrounding the incidents."