The Icelandic midfielder found himself linked with a move away from White Hart Lane in the summer, following the arrivals of midfielders Etienne Capoue, Nacer Chadli, Christian Eriksen and Erik Lamela.
The influx of new players at White Hart Lane saw several names leave the club in the summer, although Sigurdsson has somewhat surprisingly stayed put.
Some reports have suggested the £6 million signing from Hoffenheim may well leave the club in January, although Sigurdsson insists he is going nowhere.
“I came here to play for a big club,” he explained.
“When I joined I knew there would be loads of players and competition – you can either be unhappy and leave or look at it as a challenge.
“Hopefully you’ll improve and fight for your place as you know if you do the right thing every day then things fall your way and I’m hoping that will happen.”
Sigurdsson is expected to keep his place in the side for the next few weeks, with both Aaron Lennon and new signing Nacer Chadli both injured.
He impressed in the 2-0 win over Norwich City at White Hart Lane last weekend, scoring both goals and linking up well with new boy Christian Eriksen.