Assistant manager Neil McDonald will take charge in his absence.
Related ArticlesBolton Wanderers v Blackburn Rovers: match previewRoberts states case for Blackburn futurePremier League tablePremier League fixturesSport on televisionAllardyce had recently complained of brief episodes of chest pains and investigations revealed a narrowing of one of his coronary arteries, which will be corrected by the insertion of a stent next week.
He is, however, expected to be back in the dug-out for the Carling Cup quarter-final with Chelsea a week on Wednesday.
"Sam is very disappointed, particularly at missing the Bolton fixture, but his well being is of prime consideration," Blackburn chairman John Williams said.
"We all appreciate that Premier League football is a stressful business and prevention is always better than cure."