The 21-year-old has emerged as one of the most exciting young talents in Serie A, and had previously caught the attention of Reds boss Brendan Rodgers with his performances.
Reports in Italy suggest the Reds have already made it clear to Lazio they will be making a bid for the Nigerian international in the summer, but now it seems Tottenham have joined the race.
Onazi confirmed his desire to play in England just a matter of days ago, and since then Tottenham Director of Football Franco Baldini has opened talks over a possible switch to White Hart Lane.
Onazi is considered a box-to-box midfielder, with the potential to become a future star.
Baldini is confident Tottenham will be able to complete the signing for £8million, and Lazio seem resigned to losing one of their star men.
However the Italian side will be hoping Liverpool’s interest remains, and the two clubs become involved in a bidding war at the end of the season.