According to Sportsmail, Leicester are offering Sigurdsson a deal worth £125,000-per-week. However, although the deal is believed to be more lucrative than that of Everton, the Foxes remain outsiders in the race to sign the Swansea playmaker.
It is understood that Everton is the preferred destination for Sigurdsson, with the opportunity to join Ronald Koeman's project at Goodison Park proving an attractive proposition.
Leicester still remain interested and Tottenham are also keeping tabs on the midfielder's future.