Barca dispatched United 4-0 on aggregate in the previous round, while the Reds progressed at the expense of Porto after scoring a 6-1 win over two legs.
Lionel Messi was in typically brilliant form against the Red Devils, scoring two in a 3-0 home win, and his general form this season suggests that Liverpool will have a difficult time keeping him quiet.
The Argentine leads the race for the Golden Shoe with 34 La Liga goals and he has scored a further 12 in cup competitions, having played 44 matches in total.
Mourinho, who has previously pitted his wits against Messi while in charge at Real Madrid, has predicted that he will lead Barcelona to their first Champions League final since 2015.
Liverpool reached the final of the competition last season, only to be beaten 3-1 by Real Madrid, but they have used that failure as a motivational tool this time around.
The Portuguese coach has backed the five-time Ballon d'Or winner to make the difference in the Champions League semi-final against the Reds
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