Seven wins in the last 10 matches has left Spurs well positioned to qualify for the Champions League, but their capacity to implode gives way to only cautious optimism at White Hart Lane.
"It's in everyone's mind because it's happened before. We need to maintain our performances," said Parker. "We have some tough fixtures coming up but we've got some players coming back from injury. Hopefully we can freshen it up that way. I'm sure we'll be fine."
He added: "We've lost some world-class players but we've added some too. Maybe we'll learn from the last two years and stay strong."
Andre Villas-Boas has sought to avoid the all-too-familiar scenario from unfolding by rotating his squad, ensuring he will have fresh legs in April and May.
But in the goalless draw at Loftus Road on Saturday it was the organisation, resilience and spirit of QPR and not their own shortcomings that contributed to an afternoon of frustration masterminded by the manager they fired last June.
Harry Redknapp is known for motivational skills rather than tactical nous, but his well-drilled side smothered Tottenham and were especially effective at containing wingers Gareth Bale and Aaron Lennon.
Parker believes QPR have a fighting chance of escaping relegation with Redknapp at the helm.
"We wanted three points. QPR did their job and were set up very well," the 32-year-old said. "They went to Stamford Bridge and won in their last league game and got a good point against a team like us who are obviously a very good team and up there in the league.
"They've got every chance with Harry there and he'll probably turn things around. I think the world of Harry and he can have as big an impact as anyone. We've already seen it over the last few weeks."