The 24-year-old - who was outstanding for Germany at the World Cup finals - has been linked with a move to Schalke's rivals Bayern Munich as their veteran goalkeeper Jorg Butt's contract is up at the end of the present campaign.
Schalke coach Felix Magath had sought to reassure the 'Royal Blues' fans that Neuer would see out at the very least his contract which runs till 2012, but the goalkeeper was unable to confirm that in an interview on Wednesday.
"I cannot say the same thing," said Neuer, referring to Magath's claim.
"There are always two sides to every story," added Neuer, who was speaking after Schalke had beaten Augsburg 1-0 in their German Cup clash.
Neuer was adamant that he would not be handing out Christmas cheer to the club fans, who have seen their side's Bundesliga fortunes plummet this term after finishing an impressive second last season - they are 10th, 21 points behind leaders Borussia Dortmund, but are through to the Champions League knockout stages.
"There will be no present for the supporters before Christmas," he said.
"I will not give in to pressure."
Bayern Munich, who have also struggled this season and are fifth in the table 14 points adrift of Dortmund, came in for fierce criticism from Schalke president Clemens Tonnies.
"If an agreement does exist between Manuel Neuer and Uli Hoeness (the Bayern Munich president), that would be a serious and illegal matter," he said.
"If that was the case then we would take action," he added, without specifying what that would be.