The 28-year-old, whose current deal with the Championship side will expire at the end of the season, wants to speak with the club about a fresh contract around Christmas.
"We haven't sat down and talked yet, but I hope to soon," Nugent told the Leicester Mercury.
"When Christmas comes, my agent and I will sit down and talk to the gaffer (Nigel Pearson) and Terry (Robinson, director of football) and try to do a deal.
"I really hope we can because I want to stay here. The lads are quality and the coaching staff are quality. I am really enjoying being at the club."