Spurs were held to a goalless draw by QPR in Saturday's London derby at Loftus Road, dropping to fourth in the table after Chelsea crushed Stoke.
But a record of seven wins in the last 10 matches has left Tottenham well positioned to tie down a top-four finish, and only their capacity to implode has cast doubt on whether they will achieve the feat.
Last season their title hopes expired when a damaging run of one victory in nine games left them in fourth, to be frozen out of the Champions League when Chelsea won the competition and earned a place as holders.
And in 2010/11 Tottenham slipped out of the top four with another poor sequence of results starting in February.
Parker believes the experience of going so close in the past can aid Tottenham this time, rather than lead to more disappointment.
He said: "It's in everyone's mind because it's happened before. We need to maintain our performances.
"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.
"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."