The prolific Dutch striker will be a free agent next summer but his German employers are optimistic that he can be persuaded to put pen to paper on a new deal this year
The Netherlands international only has one year to run on his existing deal with the Bundesliga side and has been linked with a number of top European clubs in recent months, including Manchester United.
However, Heldt is optimistic that Schalke will not be forced to cash in on their most prized asset before the start of the new season.
"He knows we want to extend his contract and I can very well imagine that happening," the former Germany international told RevierSport.
"We already spoke a lot with him about it ahead of the European Championship. The talks with him and his management were very clear, so I see no need to push things now."
Huntelaar arrived in Gelsenkirchen from AC Milan in 2010 and has since re-established his reputation as one of the most prolific strikers in Europe.