The newly promoted side are owned by entrepreneur Tony Fernandes, and have been linked with a move for the LA Galaxy midfielder.
However, when asked the likelihood of Beckham joining his side, Warnock was not confident.
“No, I can’t see that,” he admitted to Sky Sports.
“I like David, he is down to earth. It wouldn’t bother him playing for QPR. He would play for the local team if he had to, he is that kind of guy.
“In our case, at the moment we’ve very good players in those areas, and we’re looking to strengthen other areas.
“So until we’re an established club I think we have to get our priorities right first.
“We’re not there yet, we’re a team in the making. We’ve some very important signings to make in January which we are looking at now, working on, to give us that push towards the end of the season,” he stated.
Fernandes’ money has already bankrolled the acquisitions of the likes of Anton Ferdinand and Shaun Wright-Phillips, and Warnock has revealed that the executive wants to continue his spending spree in the new year.
“He’s given me about 247 to look at it since I’ve met him,” Warnock joked.
“I try and give him an answer, but he’s got friends all around the world and they’re always calling him, so goodness knows what it’s going to be like in the run-up to January.
“But the main thing is he is very supportive, he listens to what I have to say, he doesn’t always agree, which is the prerogative of any owner.
“There will be times when he will wonder why I haven’t played a particular player, and that’s great.
“I tell him my reasons, and then I have to hope we get a result to prove me right. If we don’t, he’s right,” the coach concluded.
By Gareth McKnight