The Blues, Manchester United, Liverpool and Arsenal have filled the competition's top four places in each of the past three seasons.

And Kenyon said: "Other teams in England should be knocking on our door; teams like Tottenham, Newcastle, Villa, Everton."

Ideas to try to level the playing field, including placing a limit on the number of foreign players, have been mooted in some quarters but Kenyon does not back such proposals.

"It's more about them getting their houses in order rather than us coming down to their level," he added.

"If you look across Europe, other major leagues are dominated by one, two or three teams, so it's too easy to say this is a Premier League issue.

"What's important is the way we distribute our TV revenues, which is very equitable."

Kenyon has also reiterated the club's willingness to discuss the league's controversial proposal for all sides to play a 39th match at a foreign venue.

The idea met with much opposition when first aired last season but it will again be discussed at the next shareholder meeting in September.

Kenyon said: "We are supportive of evaluating the proposal. We have to recognise it's probably the global league in football. We have to be open-minded."