Liverpool FC have managed to extend their lead at the top of the Premier League table to four points as they look to try and pull away from second-placed Manchester City.
Tottenham Hotspur, however, are also looking to keep themselves in contention for the title.
The Lilywhites are currently in third place in the Premier League table and only six points behind leaders Liverpool FC.
However, despite their promising position in the table, Pochettino has played down the chances of Tottenham being considered as genuine title contenders this term.
Speaking in an interview quoted by BBC Sport, Pochettino said: “There is a long way for me to say we are real contenders.
“It’s so tough to win the Premier League but we are going to try,” said Pochettino, who has been linked with Manchester United following the sacking of Jose Mourinho.
“The clear favourites are Liverpool and Manchester City. We are there, but so are Chelsea, Arsenal and Manchester United.
“Football is about being consistent. If we are able to be consistent and play in the way we did tonight [against Everton] I think maybe we could be a real contender, but there is still a long way.”
Tottenham will return to Premier League action on Boxing Day when they take on Bournemouth at Wembley.
Meanwhile, Liverpool FC will take on Newcastle United at Anfield.
Despite the praise that both Jurgen Klopp and Pochettino has received in recent years, neither of them has yet been able to win a major trophy with their respective clubs.
Liverpool FC did reach the Champions League final last season but ended up losing 3-1 to Real Madrid in the showpiece back in May.
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