Mauricio Pochettino says Tottenham dominated Southampton and felt Nathan Redmond's red card was irrelevant to the result.
Dele Alli struck twice as Tottenham battled from a goal down to beat 10-man Saints 4-1 on Wednesday night and claim their first away victory since September.
Spurs were 2-1 in front at St Mary's when the penalty incident with Redmond occurred and Pochettino believes his side were already on course for victory.
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"It was not a key action to change the game because in that moment, we dominated the game, we created a lot of chances," Pochettino said.
"It was difficult to see from my position but we deserve more than Southampton. We played better, it's a very fair result."
Tottenham beat Saints 2-0 in December last year before winning eight out of their next 10 matches to emerge as Leicester's closest title rivals.
They next travel to Watford on New Year's Day before hosting league leaders Chelsea - both games are being shown live on Sky Sports - and Pochettino wants his side to emulate last season's run.
"Yes, why not? It's true the Premier League is very tough now, and all the big clubs, the sides are fighting at the top," Pochettino said.
"It is a completely different Premier League this year. For us it's important, we had a very good year for us last season, 71 points, and towards the end, we were still fighting for big things."
Tottenham could be without three defenders against Watford. Jan Vertonghen and Kyle Walker will both miss the match through suspension after each collecting their fifth yellow cards of the season.
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Vertonghen may also face retrospective action after catching Jay Rodriguez in the face with his hand, although neither manager said they saw the incident.
Toby Alderweireld, meanwhile, is also struggling to be fit after missing the win over Southampton with an illness.
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"We hope he will be available against Watford because today he was better," Pochettino said.
"He got a virus, was sick, vomiting, and fever in the last two days. We hope he will be okay."