West Ham United were fined £5,500,000 by the Premier League just a few months ago by the illegal signing and playing of Argentinean duo Carlos Tevez and Javier Mascherano.
And, by Premier League rules should have been deducted points as well as a fine, however because they pleaded guilty as charged they were only received a fine.
Sheffield United were relegated yesterday after losing 2-1 at home to Wigan Athletic, and with the Hammers beating Manchester United 1-0 it meant that the Blades would be playing Championship football next season.
However the five top flight clubs say that the Upton Park club should have been docked points after being found guilty of acting improperly.
Wigan Athletic chairman has said that a meeting between the clubs will take place on Monday (today), whilst Kevin McCabe (Sheffield United chairman) believes that more clubs should join in; "Most of the clubs support the injustice that has come about this season, I would hope we would get the backing of most." McCabe told BBC Radio 4.
"I feel cheated because yesterday's result was not the root cause of our relegation.
"It will need conversations with chairmen and directors so they understand all of the injustices, so I suspect we will be canvassing.
"If I were on the Premier League board, I would say 'we must address Sheffield United's plight that has come about through no cause of their own'.
"So they need to call their own internal meetings and decide what to do. It is their responsibility to pursue it just as much as it is ours."
The seven clubs will meet to decide whether to press ahead with a legal bid on Monday and Lactics chief Whelan says they must act quickly.
"Legally, we are being given strong advice that this can be challenged, whatever the Premier League says," stated Whelan.
"It can go as far as the House of Lords but the problem there is that it will take too long, next season will be under way by then.
"We must establish whether Tevez was registered in time to play for West Ham and whether they created a new transfer window to sign him.
"But the challenge has to be mounted very, very quickly. Monday and Tuesday are very important days and it has got to be pushed through.
"I feel sadness that Sheffield United went down and we will support them until the end."