Spurs are just four points behind Prem leaders Blues after their 4-0 win over Bournemouth and Chelsea's defeat to Manchester United.
Thibaut Courtois picked up an injury on an National Basketball Association shoot in the days preceding the match at Old Trafford.
The result didn't just blow open the title race, it also left the battle for Champions League qualification intriguingly poised.
With Tottenham closing the gap at the top to four points, the pressure was on Chelsea to reestablish their commanding lead.
Tottenham have played eight Premier League matches since Rose suffered his injury against Sunderland, of which they have won eight including a seven game run that continued against Watford at the weekend. But it's a big game for us.
United were also knocked out of the FA Cup quarter-finals by Chelsea last month and avenging those painful losses kept alive their bid to qualify for the Champions League via a top four finish.
He added: "He felt a bit sick so that is why we had to change but it didn't affect the game because Marcos did not play".
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In the build-up to Rashford's goal, Herrera blocked with his hand a pass from Nemanja Matic but the infringement wasn't picked up.
Tottenham have enjoyed a fine season and now sit in second place behind Chelsea in what has been an enthralling title race. Leicester trail 1-0 from the first leg in Spain and their chances of extending their remarkable run into the semi-finals will depend largely on how their defence fares at the King Power Stadium.
Chelsea was deprived of its goalkeeper Thibaut Courtois and didn't have the flair to beat the Reds Devils, who were hungry for revenge after two defeats against the Blues, once in the cup and four nil in the championship match. So with Robert Huth suspended for the rematch and Wes Morgan struggling with a back injury that forced him to miss the Palace game, Leicester boss Craig Shakespeare will be alarmed by the way his team crumbled at the back and allowed Palace to snatch a 2-2 draw.
Chelsea is still the favourite for the title, with the only obvious stumbling block in its run-in being a trip to Everton on April 30.
Swansea are two points behind Hull in the third relegation place after a fifth loss in six games. "They are feeling the possibility to write the history and it is important to know this", the Italian said.
But Pochettino insists his side wasted too much energy focusing on their rivals and now feels Tottenham are more equipped to ensure the title chase continues until the last game of the season.
Vertonghen said: "Chelsea is one of the best teams in the league this season and they played great and Eden is obviously a very special player".