Villas-Boas had been critical of Tottenham's home support in Sunday's 1-0 win over Hull, but on Wednesday night they were in good voice during a thrilling fourth round meeting against the Tigers in north London.
Spurs fans sang throughout the match and there were also several chants of "AVB's blue and white army", even though the home side were on the back foot for the majority of the second half.
"It was a great, entertaining game and the supporters were absolutely fantastic," the Tottenham manager said.
"To see their response after we suffered a setback was very pleasant, they can make that difference for us. It was a great atmosphere and it was great for the team to feel that empathy with the supporters."
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