The Mirror says Allardyce finds himself on a shortlist to replace another Englishman Stephen Constantine who was in charge of the Indian national side for the past four years before being sacked.
There were more than 250 applications for the job - one which has a history of appointing from within English football with Bob Houghton and Joe Kinnear previously having taken on the job.
Phil Brown who was Allardyce's number two at Bolton and who is now manager of Indian Super League side Pune City would love to see Big Sam involved in India.
He said, "You would think that in the next few years there will be massive strides made. I've spoken to Sam and he told me that the job does interest him.
“It would be great to see him back at that is the top level of football. Who knows he could do for the game out here?"