Cureton has been nothing short of prolific for most of his career, averaging a goal every two games, but has struggled to get regular football this term.
The former Norwich and Bristol Rovers man has started just 13 games for Alan Pardew's side this season, and the lack of football could see him leaving The Royals in the summer.
Despite being offered a new deal at the Madejski Stadium, Cureton is desperate for regular football and that search could see him leaving the Berkshire side.
"I was prepared to stay and fight for my place before but it all seems to be getting further and further away from me these days," Cureton told The Chronicle.
"I don't want to spend any more time sitting in the stands.
"I'll try and sit down with the manager and find out what he's thinking, but I imagine nothing will change for Millwall this weekend.
"This is not just about the contract. I'm not playing at all at the moment and that's going to be a major part of what happens in my future.
"I've moved even further down the pecking order and the manager has made even more signings and changed formation again so it doesn't look good for me.
"But I've got a lot to think about and we'll have to wait and see. I want to keep my head down and not get involved in any rumours."
Cureton is still the club's joint top scorer this season despite his lack of action, and was left out of the squad for the 2-1 win over Gillingham on Monday.
Martin Butler was also left out of the party, but will not be leaving the club as expected after his proposed move to Luton Town fell through.
One man who is enjoying his stay at the club is Manchester United winger Luke Chadwick.
The 22-year-old scored on his debut against The Gills and is now hoping to extend his stay with the club.
Chadwick has struggled for football at Old Trafford and was delighted to be back in first-team action.
"I hope I can stay here longer," said Chadwick.
"I know that Matty (Upson) had a great loan spell when he came from Arsenal and just a few weeks later he has made it into the England squad.
"Reading is a big club with a beautiful stadium and if I get the chance to extend my loan period here then I will be happy to do so."
Meanwhile, Shrewsbury have extened the loan of Royals defender Alex Smith for another month.
