Rodgers' latest words will only fuel talk of a potential move to Arsenal - especially as it is believed that he sees the position as 'a dream' - but the former Celtic and Liverpool boss insisted that he does not let the rumours bother him.
"I have a contract here until 2022 and thus far, and I know managers are losing their jobs, but the club have not indicated to me that they are going to sack me. With the Arsenal job there is probably about ten names".
"Why would I want to leave Leicester at this time?"
"The new manager would really be able to get his teeth into things".
With City due to welcome Watford to Filbert Way on Wednesday evening, Rodgers, who addressed the national media on Monday, confirmed there are no fresh injury concerns in his squad.
"My focus is very much here with Leicester", he said after the match.
Arsenal have already made enquires about the availability of Rodgers, according to The Athletic. "I was asked a question on my contract, talking about clauses and stuff like that there", he said.
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He added: "To be fair, this team, starting from the players, to the staff and the manager - everyone - we are all together, so everyone is happy with each other."Those who are playing or those who are not playing, everyone is happy".
"[The speculation] doesn't annoy me".
"I've been very fortunate in my career to work with some brilliant clubs and great institutions". He's got Leicester up to second in the league and I don't think anyone would have thought that at the start of the season.
Victory at Anfield - however unlikely considering better teams than the current crop have unsuccessfully come and gone since Kevin Campbell's winning goal in 1999 - would buy Silva and the Toffees board some much-needed time with the club now two points above the relegation zone.
As the Gunners continue to be linked with a move to appoint Brendan Rodgers, it has been revealed why the club didn't hire him instead of Unai Emery in the first place.