'Bath are a very good side and will face up to the challenge. It means we will be playing Bath three weekends in a row, as we also meet them in the Zurich Championship, and they are three must-win games for both teams.'
Wales scrum-half Robert Howley and his new club London Wasps will also be home in the first leg when they take on Pontypridd.
'We wanted to be away in the first game so now it is a case of building up as big a lead as we can to take to Sardis Road,' said the former Cardiff star.
'We did well in the last round against Stade Francais and it will be strange playing against Neil Jenkins, but at least I'll be able to tell the Wasps players how passionate a place Sardis Road is.'
Bath captain Danny Grewcock, who finds himself up against his former club, declared: 'It is just what we wanted.
'We've had to play away first in all the three previous rounds and then been able to finish it off at the Rec.
'We all know there is the big prize at the end with automatic entry into next season's Heineken Cup, but when you look at the four teams left, you know it is going to take some winning.'
Pontypridd fly-half Neil Jenkins, who will be out for up to six weeks with his damaged left hand, said: 'Wasps are one of the best sides in England, so it will be a good opportunity to see where we stand. I know it's going to be tough but we're looking forward to the challenge.'
The draw for home and away status in the two legs of the PARKER PEN CHALLENGE CUP semi-finals was made at Saracens today (Wednesday).
The draw is:
First leg - 12/13 April:
Saracens v Bath Rugby
London Wasps v Pontypridd
Second leg - 26/27 April:
Bath Rugby v Saracens
Pontypridd v London Wasps