The last time the two side's met in an FA Cup tie was way back in March 1968. Albion won the 5th round tie 2-1 at Fratton Park on that occasion and ultimately went on to lift the trophy - beating Everton in the final at Wembley.
The other semi-final see's Barnsley take on Cardiff City.
Both semi finals are to be played at Wembley on 5th and 6th of April.