After more lows than highs already in the first five months of the campaign the Reds' chances of having a successful season have all-but been written off.
Inconsistency has dogged them throughout, highlighted perfectly by their last four matches which saw them lose at home to Aston Villa - who have since gone into freefall - thrash Fulham, lose woefully at Stoke and cruise to victory at bottom club QPR.
Many have been quick to point out there does not appear to have been much progress made since last season but Rodgers is confidence there is time yet to improve things.
"This is a period of time where you have to keep your head down and work hard and give the players every chance to perform," he told Press Association Sport.
"The second half of the season, and in particular the last 10 games, I believe you are working to because that is the business end when things are decided.
"When you arrive at that period you want to get yourself in a good position to challenge, whether that is in the league or cup competitions.
"We can still achieve our objectives this season so when you can do that going into the second part of the season it gives you real hope."
Rodgers is set to return to the dug-out on Wednesday at home to Sunderland having missed Sunday's win at Loftus Road with illness which also affected head of performance Glen Driscoll and back-up goalkeeper Brad Jones.
There has been a slight element of quarantine at the club's Melwood training ground in order to prevent the infection spreading to other members of the squad and the club are confident they have been successful in limiting any potential spread.
Rodgers can ill-afford to lose any of his playing staff, which he hopes to be able to add to in the coming days now the transfer window is open.
Liverpool have been waiting to finalise a deal for Chelsea striker Daniel Sturridge but they will not officially be completed before the visit of Sunderland.
Blackpool winger Tom Ince has also been linked with a return to the club he left in the summer of 2011 but those negotiations are proving more difficult.
Aside from that Rodgers is not planning a huge amount of business as he knows there is not a lot of money to go around.
The real war chest is likely to be released in the summer, when all Premier League clubs will benefit from a huge increase in revenue from the new television deal comes in line.
Rodgers admits it is always difficult trying to secure significant signings in January but he is happy with the backing he is getting from owners Fenway Sports Group.
"Even if managers have a player they think they might lose they don't want to lose him in January, they at least want to get him through to the end of the season," he said.
"The support the club will give us will be excellent. The owners have been great and I have no complaints in terms of where we are as a club at this time."
Rodgers has now completed seven months at the club, having succeeded Kop icon Kenny Dalglish who was sacked in May.
Despite results not being quite what he would have wanted he is enjoying the experience as boss of one of the most high-profile clubs in the world.
"You are very much in the public eye far greater - that is the single biggest thing," said the former Swansea manager.
"But I love the expectancy and challenge of making this great club great again.
"That period (since taking over) has been fantastic and I believe as we grow and work more together we will improve."