Goodwillie struck an 89th-minute winner as United claimed a 3-2 victory at Ibrox on April 2, his goal on the counter attack a blow to Walter Smith's ambition of finishing his final season at Rangers with the SPL trophy.
With Rangers entering the match at Tannadice with a one-point lead over Celtic, having already played a game more, victory is a must for them.
But Houston knows Goodwillie is capable of inflicting further damage to Smith's SPL title bid.
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Dundee United vs Rangers Live Streaming
Scottish Cup
11:45 +00:00, April 16, 2011
Hampden Park, Scotland
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