Former Manchester United striker Scott McGarvey told IBTimes UK that Liverpool and Tottenham Hotspur will struggle to finish in the top four for a long time.
Chelsea won the league title comfortably during the 2014/15 season, while Louis van Gaal helped the Red Devils finish in the top four after a disappointing campaign under David Moyes the year before, where they finished seventh in the table.
Brendan Rodgers' side finished sixth a year after he came close to winning the title, only to lose it to Manchester City in the 2013/14 season. Meanwhile, the north London club finished fifth in the last campaign.
McGarvey believes both Liverpool and Tottenham will struggle to challenge Chelsea, United, City and Arsenal for a place in the top four for the next seven to eight seasons.
Speaking exclusively to IBTimes UK, McGarvey said: "I don't see anything happening to change in top four, which would be Chelsea, United, Arsenal and Manchester City. It will be between them for a long, long time. May be for the next seven to eight years."
"Even Liverpool and Tottenham, I just don't see them getting anywhere there. You may get one season where they may get into the top four, which could be brilliant for them. You may get a wonderful season from Everton."
Arsenal won the FA Cup for the second consecutive time after defeating Aston Villa in the final earlier in May. They also finished third in the table, ahead of United last season.
McGarvey believes the title will swing between the current holders and the two Manchester clubs. The 52-year-old has also backed Arsenal to challenge the trio for the title, if they manage to make the right additions.
"I just don't think anybody is going to run away with the league for the next seven to eight years. Between Chelsea, Man United, City the league will swing between these sides and if Arsenal make some additions, they are also in the mix," the former United striker explained.