Rangers became the first team in Premier League history to fail to win any of their first 16 games in a season when they were held to a 2-2 draw by Wigan at the DW Stadium this afternoon.
Redknapp's side exceeded the previous record set by Swindon, who were relegated in the 1993/94 season, while the last team to reach 16 games in the top flight without winning were Sheffield United in 1990/91, before the Premier League era began.
Redknapp is still unbeaten since taking over from Mark Hughes having drawn all his three games, and he has already been talking about possible January targets.
Rangers have struggled despite being one of the highest spenders in the Premier League in the summer, and Redknapp implied he would consider relegation a certainty if they head into January still winless.
The Rs boss said: "It we don't win a game or two then I wouldn't ask them to spend any more money. I think it would be unfair to the owners.
"I wouldn't tell them to go and spend big money on a couple more players if we're that far adrift. You've got to be realistic.
"I'm just hoping we can get that win or two and then I'm sure they'll have a go, because they've had a go in the summer. They've done whatever was asked of them and look what they've ended up with.
"It's difficult. I can only work with what I've been given. It's like you've dealt me a hand of cards and this is what I've got. We've left ourselves with a squad that's got no balance to it, we've got no strikers."
Rangers began brightly in the Lancashire rain but it was Wigan who opened the scoring in the 19th minute when Jean Beausejour's corner was only cleared to James McCarthy on the edge of the box, and he drilled his shot into the bottom corner via a deflection off Jamie Mackie.
The visitors hit back, though, Wigan once again failing to deal with a set-piece allowing QPR captain Ryan Nelsen to head in his first goal for the club from Adel Taarabt's corner.
Wigan threw everything at their opponents in the early stages of the second half and Robert Green had to produce good saves to deny McCarthy, Gomez and David Jones, while Gomez also hit the bar.
But Rangers hung on and took the lead with 19 minutes to go through substitute Djibril Cisse only for McCarthy - who had not scored for almost two years prior to Saturday - to poke home his second three minutes later.
Redknapp said: "They got on top in the second half, we scored against the run of play and then you're hoping with 20 minutes to go you can hang on.
"We didn't defend very well really, we were slow getting around the ball. We started well and for 20 minutes I thought we kept the ball great.
"Then they get a corner, we don't do what we're supposed to do, the ball gets cleared to the edge of the box, the man on the edge of the box stands there picking his nose, they rifle a shot in and we're one down.
"There's no lack of effort, they're trying as hard as they can, that's for sure."
Wigan were missing seven players through either suspension or injury, while an eighth, playmaker Shaun Maloney, was only fit enough for the bench.
It was the Latics' first point in three games but manager Roberto Martinez felt they deserved more.
He said: "We are disappointed because to concede two goals is always frustrating. I just feel that for us to score a goal we need to be perfect.
"And the first time that QPR get in our box they get a free header and then in the second half they didn't have an attacking threat but they got in front. But I was very pleased with the manner in which we reacted to going 2-1 down.
"It would have been all too easy to panic, to lose our composure but I thought we were very mature and we're disappointed that we couldn't get any more because the chances were there.
"I thought Robert Green had an outstanding performance and in many ways I thought we deserved the three points."