Peter Crouch and Jon Walters scored at Loftus Road to leave the Rs still stranded on 24 points, 10 behind 17th-placed Aston Villa having played a game more, with only 12 points still up for grabs this season.
"It looks almost impossible," Redknapp admitted to reporters, before adding of the performance itself: "I couldn't have asked for any more - we gave everything we had, worked hard and in the first half we were the better team.
|8/1||Harry Redknapp is 8/1 with BetVictor to be the next Premier League manager to leave his post
The Rs boss insisted that he would stay at the club to try to return them to the Premier League next season if he loses his fight to keep them up but warned that they may struggle to bounce straight back.
"It looks in tatters, doesn't it?" he noted to BBC Sport, "but we've got to try to win a game or two. We've got to go to Reading next week and try to win. We've got to keep going.
"It's difficult but life is not always fun. What am I going to do [if I leave QPR] - play golf every day?
"I've enjoyed it, even though it has been difficult, but you don't walk into a side that hasn't won for 13 games and start winning every week.
"When people say this team will come straight back up next year, I'm afraid they are talking rubbish. There needs to be an awful lot of work done over the summer to put the club back into a position to challenge again next season.
"I think I could put a team together here that would have a real chance of getting up but it's not going to be easy."