The Cherries’ third round tie with Albion, who sit in second place in League Two, was postponed on Saturday due to a waterlogged pitch at the Goldsands Stadium.
Liverpool are 11/2 with William Hill to win the FA Cup
"I am sure our supporters and those from Burton were absolutely delighted with the draw," the former Burnley manager told the Bournemouth Echo. "A home tie against one of the biggest clubs in the country is what everybody hopes for.
"It has certainly upped the stakes for when we play Burton because you always want to test yourself against the best in the world and the Liverpool squad is packed with fantastic players.
"But nobody here is getting ahead of themselves and I am sure it will be the same at Burton. We both have very important league games to prepare for and that is our immediate priority."
Bournemouth are currently 16th in the Championship after a stuttering first half of the season, having won promotion from League One last year.