Allardyce’s health problems have been well-documented in recent years and in 2009 the former Bolton Wanderers boss underwent heart surgery.
The 55-year-old is now willing to consider international management to escape the day-to-day rigours of club football.
Although Allardyce says he has no plans to leave Ewood Park in the immediate future, he remarked that after another two or three years in the Premier League, the switch to international football would be a real possibility.
“I would like to coach a national team if one came up,” Allardyce said.
“Another two to three years in the Premier League is about what I want to do.”
He added: “We’ll see how far we can take Blackburn – we’ll see if we can get them beyond where most people expect.”
Allardyce has been involved in management for almost 20 years, first becoming Limerick boss in 1991.
The FA interviewed Allardyce for the vacant England post in 2006 after Sven-GÃƒÂ¶ran Eriksson stepped down, however Steve McClaren was selected as the Swede’s successor.
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