Spurs have collected 10 points from a possible 12 over the festive period, providing the perfect platform to head into Saturday's FA Cup showdown with Arsenal.
And Adebayor is a man transformed, scoring four goals in five games since being brought in from the cold by Sherwood after his exile under Andre Villas-Boas.
"We know he is one of best in league and when he performs as he is at the moment he's almost unstoppable," said Sherwood.
"I have no reason to believe he won't keep it going.
"He's massively important to us. He seems happy in himself and wants to play every minute.
"I am amazed (how quickly he has reintegrated) because he's not had too much of a pre-season either."
As Sherwood noted, it makes Adebayor susceptible to injury and the Togo forward was carried off immediately after Welbeck's goal, apparently with an acute case of cramp.
"It's always a danger you're going to break down and I hope he's not too badly injured," said Sherwood.
"He's got ice on every part of his body so we're not sure which (part) is hurting him more."
Adebayor is making a vital contribution at a time when Tottenham's resources are stretched by a crippling injury list, which includes Jermain Defoe, with reports also linking the England star to Major League Soccer.
"I have heard nothing regarding Jermain," said Sherwood, who added that his preference would be to get over the short-term personnel shortage by using younger players rather than buying new ones.
"When we have got everyone fit, we don't need any players," he said.
"We have to assess how long some of them are going to be out, because no-one is going to want to come for three weeks.
"You have to give these guys long-term contracts, so unless it was someone who was going to make the squad better, I'd rather go with the kids."
Sherwood is making a positive impact after the problems Villas-Boas encountered.
And he is having good fortune as well given his refusal to make any apologies for what he admitted should have been a penalty when Lloris went in on Young.
"At the time I thought it was a penalty," he said.
"It's one of them that could go either way but if we have got away that one I'm pleased because I remember coming here with Harry (Redknapp). We were 2-0 up at half time and (Heurelho) Gomes made a save, he quite clearly played the ball first but they got a penalty.
"They even themselves out."