Spurs condemn racist abuse towards Destiny Udogie on social media
Tottenham said in their statement: "We are disgusted at the racist messages directed towards Destiny Udogie on social media following Saturday's game against Liverpool.
"We stand with you Destiny."
The club added that they would "work with the Premier League and, where possible, take action against any individual we are able to identify".
Troy Townsend of Kick It Out, said: "No amount of controversy or high emotion surrounding a game can ever warrant this abhorrent outburst.
"We are extremely concerned that players are being continually targeted on social media following games in the worst possible terms and it is vital that those responsible are held to account.
"High-profile players have been targeted almost every weekend since the season began in August.
"This worrying trend is a sad reminder of how much work remains to combat discrimination in football, and it is vital that social media companies help address this problem with the seriousness it requires.
"We have received several reports regarding the racist abuse targeting Udogie and have shared these reports with the relevant authorities."
The Italian has enjoyed a positive start to life at Spurs under Ange Postecoglou, starting all seven Premier League fixtures so far this term.
The 20-year-old was signed from Udinese at the start of last season, spending another year on loan with the Serie A side.