Redknapp believes that QPR are capable of securing Premier League survival if they maintain that level of performance in the next few weeks.
He told Sky Sports News: "It was a good day for us. Back-to-back wins for the first time in I don't know how long. I thought we started well and conceded a goal against the run of play.
"We didn't feel sorry for ourselves. The crowd were excellent and stayed with us. That was the best I have seen us play. We need to have a run of results like that."
QPR are still bottom of the table on goal difference but are now four points away from Premier League safety.