Goalkeeper Ben Foster pulled off several fine saves to keep out the home side, including a disputed penalty from Liverpool captain Steven Gerrard.
"When he [Foster] made that save from the penalty that should never have been given, I think it gave us a positive momentum and a little bit of belief to go and win the game," former Reds coach Clarke said.
"We need one more win to get 40 points and we have 12 games left.
"Hopefully we will get it quickly and then we'll see where we end up at the end of the season."
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