Gokhan Inler will make a decision regarding his future by the end of the according to TalkSport.
The sports radio station have stated that the 31-year-old midfielder has offers on the table from Leicester City and Schalke 04.
TalkSport also claim that the Bundesliga side have offered Inler a more lucrative offer however, the Switzerland international is keen on a move to the Premier League.
Leicester want to bolster their options in midfield following the departure of Esteban Cambiasso earlier this summer.
Cambiasso left Leicester at the end of last season after his contract expired and joined Greek champions Olympiakos last week.
Inler scored one goal in 33 appearances for Napoli in all competitions last season. The 31-year-old has also previously played for Udinese, Zurich and FC Basel.