Rangers edged a point clear at the top of the Sky Bet Championship but endured a frustrating evening in front of goal as the clash at Loftus Road ended 0-0.
They had won their previous four matches 1-0 but could not even muster the solitary goal which would surely have seen off a Brighton side who are hardly prolific themselves.
And Redknapp revealed afterwards that Bobby Zamora will be out until after Christmas following a knee operation.
R's boss Redknapp, who is monitoring Tottenham's Emmanuel Adebayor and Harry Kane, said: "I thought we did well as we've only got one striker.
"Bobby Zamora's had an operation and Andy Johnson is out so we are still short up front. I need more options really.
"We need someone. But what you find at this time of year is it's not easy to find someone decent.
"But we couldn't have worked any harder and defensively we look strong."