Rovers will face Peterborough in the Carling Cup on Tuesday, however three players have been ruled out after going down with swine flu, while two members of the Blackburn staff are also suffering with the virus. Allardyce has questioned the wisdom of the Premier League letting Saturday's match at Stamford Bridge proceed, after Blackburn informed them of the first two cases of swine flu in their squad.
"There is no doubt about that," Allardyce said. "When you look at the medical side of it, it is one of the most infectious viruses we have had."
Allardyce is adamant Blackburn have operated by the book, by informing league authorities and letting them determine the next step of action.
He said: "They know that we went through the right procedures and that we did not call it off because we couldn't.
"There was no point in trying because back in February or March they told us we had to get a team out there, no matter what.
"It is their responsibility to consider how dangerous it might be to allow this to spread throughout football so they have shirked responsibility - not us. I don't think they have put much thought into it at all."
A similar case in France at the weekend saw Paris St Germain's match at Marseille postponed.
PSG's Ludovic Giuly and Mamadou Sakho were diagnosed with the virus on Saturday and the confirmation of a third case in the squad on Sunday prompted Ligue 1 authorities to act.
Two members of PSG's coaching team had also reported symptoms of swine flu.