Chelsea and Manchester City are facing the possibility of being relegated, the Daily Mail reported.
This comes after Everton’s 10-point deduction on Friday has set a powerful precedent.
The punishment saw the Toffees drop to second bottom of the table, although the club is planning to launch an appeal.
Man City are faced with 115 alleged breaches of the Premier League’s financial rules and Chelsea are facing scrutiny over alleged payments connected to former owner Roman Abramovich.
A lawyer who has advised City, Stefan Borson, tweeted after Everton’s news broke: “Without seeing the judgement/award -10 points for Everton feels harsh for a straightforward FFP [Financial Fair Play] breach to me.
“But reinforces that sanctions against City [if proven] and now Chelsea [if charged and admitted on the off-books payments] will be potentially relegation inducing.”
Chelsea are currently seated outside the top six on the league table while Man City are the current topper.