They'll be hoping Winks' knock isn't too serious and that he can play a part in what is set to be Tottenham's biggest game of the season so far, with a place in the Champions League semi final up for grabs for both teams.
As well as the injury to Alli, Tottenham have lost their England talisman Harry Kane, who suffered what the club described as significant ligament damage to his left ankle against City in a challenge with Fabian Delph.
Now, Spurs are understandably anxious that it could well rule him out of Wednesday night's second leg against Manchester City.
Lucas has mostly come off the bench this season, but with Harry Kane ruled out for the rest of the season, the Brazilian has may well have just fought his way into the starting XI.
Pochettino said he would rotate his squad against Huddersfield due to injuries and fatigue but stressed the importance of picking up three points as Spurs battle to finish in the top four and secure a Champions League spot.
Many were surprised that Son did not start the game, but Pochettino believes he was fully justified in resting the South Korean ahead of the quarter-final, second leg in Manchester.
"There's no pressure for him, there's a pressure for us and the team to try and deliver our best job and win games", Pochettino said in a press conference when asked about extra pressure on Son.
Given the quick turnaround and the important matches coming up, it looks likely he will miss Saturday's clash in the Premier League against Huddersfield Town.
"He feels sad and disappointed like everyone at the club. After the game, we can see that the decision was right".
"It was a good performance by everyone and we need to keep it like this".