However, the north Londoners did not wilt under the pressure and drew parity at White Hart Lane thanks to Christian Eriksen goals either side of half-time.
There was more to come, though, as substitute Gylfi Sigurdsson lashed home from distance in stoppage time to make it 3-2, leading his manager to dash down the touchline in celebration.
"It was a massive, massive win for us," Sherwood said. "We know we have a tough period ahead.
"On paper, they look easier games after the Liverpool one, but they're the harder ones.
"When people come here with expectancy, let me tell you, it is harder to come from 2-0 down at home than 2-0 away from home. Unless you've played the game, you won't understand.
"There is an expectancy but it takes real guts, character and spirit to do that and we showed that today. Brilliant."
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