Coyle, who led the Clarets to the Premier League, controversially quit the east Lancashire club for the Reebok Stadium in January.
He took coaches Steve Davis and Phil Hughes with him and experienced forward Blake then followed on a free transfer in the summer.
They will all return to Turf Moor in three weeks' time after the two clubs were paired in the third round of the Carling Cup.
Blake, 34, said: "I think I will need to get my tin hat ready! I would have preferred it to be next season in the Premier League but it was probably meant to be with the gaffer and myself.
"I couldn't believe it. It is a great tie to be involved in but it is going to be a difficult game. The gaffer did a great job there. I doubt he will get a great reception but once the game starts I am sure it will all be forgotten."
Source: PA
Source: PA