Redknapp believes his side are playing well enough to give him hope, even though he concedes QPR will have to probably better the four wins managed in the opening 30 games of the campaign.
He said: "The result at Villa will have a big bearing on the rest of the season and it's opened up a gap with Southampton winning as well.
"It's going to be tough but we are still in there and are playing so well at the moment.
"We probably need to win five out of the last eight games. It's hard to do when you haven't won that many all year. But it's not impossible."