Redknapp's arrival at the club has seen a small improvement in form, but drawing their last three games extended their Premier League record-breaking winless start to the season to 16 games.
The former Spurs boss is not ready to look ahead to bringing in players in the January transfer window quite yet, and would love to see their resurgence take another step forward at Loftus Road on Saturday.
"We've got what we've got," Redknapp said. "This is the team I have been given. That is what I have got to work with and I am just concerned about getting the best out of them.
"I can't look and see where Mark was with them. It is what I can try and do with the same group.
"If I can get the best out of them, that's all I can do. If, at the end of the day, it isn't good enough, I can't do anymore.
"But, at the moment, I am getting the best out of what they can give me and I feel we are close to getting that first win. Hopefully it will come tomorrow.
"It won't be easy as Fulham have done well. They are a tough team to beat, they've got some quality. It will be a difficult game but we're at home, it's a London derby. We've got to give everything we've got.
"We've got to give blood, sweat and tears on Saturday to try and get that win."
Redknapp will be unable to call upon Park Ji-sung against the Cottagers having sustained a knee injury that will keep him out for a few weeks, but goalkeeper Julio Cesar is back in contention after a groin complaint.
The QPR manager admits he has already made his mind up on whether to recall the Brazilian or stick with Robert Green - a decision he refused to divulge, but one he knows will not go down well with all.
"It is a tough choice," Redknapp said. "They are two good goalkeepers so we're lucky to have such good keepers here.
"Whoever doesn't play is going to be disappointed. That's football. What can you do you? You can't please everybody. You've got to make a choice.
"Whoever doesn't get chosen will be upset and unhappy with me, but that is how football is."
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