"It's a big opportunity, there's a great history at all levels betwen Leinster and Munster but at A level we've played each other in the semi-final in the last two years and it's one-all.
"Leinster are one of the leading teams in the competition so we're really looking forward to it," he added.
Leinster A topped their pool with six wins out of six and will be looking for a repeat of last season's 17-15 defeat of Munster A in the semi-final of the competition.
"I haven't seen them this year but I'm sure they'll have a style similar to the senior team," said Malone.
"We'll try to get a video or two of them to watch before we play them but we know how to expect Leinster to play. They're physical, they work hard at the breakdown and we've got to match that and really be up for it," he added.
Full British and Irish Cup Quarter-Final Draw
Fixtures to be played the weekend of 4/5/6 April
- Game 1: Bristol v Rotherham
- Game 2: Leinster A v Munster A
- Game 3: Cornish Pirates v Pontypridd
- Game 4: Leeds v Plymouth
The Semi-Final draw is as follows:
- Winner of Game 3 v Winner of Game 2
- Winner of Game 1 v Winner of Game 4