In the other semi-final Wasps or Leinster have been drawn away against either top seeds Biarritz or the the 2000 champions Northampton.
The draw for the 12th Heineken Cup semi-finals was made at Twickenham this afternoon.
The completed line-up will be confirmed after the quarter-finals, which will be played on the weekend of March 30, 31 and April 1.
Former Leicester and England star Austin Healey, a Heineken Cup winner in 2001 and 2002, helped conduct the draw.
And he backed Tigers to build on their famous win over Munster last weekend and end up facing Biarritz in the final at Twickenham.
"I texted Martin Corry after the game and said that was the best performance by Leicester in four years," he said.
"The physicality of the forwards was immense and if they continue that they will have a good chance in the rest of the tournament.
"If I was going to put money on it I think the final will be Biarritz and Leicester."