The 25-year-old defender will see out the remainder of his contract in Rome, before leaving Stadio Olimpico on a Bosman free at the end of the campaign.
Reds boss Brendan Rodgers has already held talks with the Frenchman about a prospective move to Anfield, after the talented stopper snubbed Lazio's pay rise offers after taking the decision to start a new challenge away from Serie A.
According to reports in Italy, Diakite will have his pick of clubs from across Europe, with Liverpool still facing a significant fight to secure his signature.
Daniel Agger and Martin Skrtel are currently Liverpool's first choice centre-back pairing, but with doubts surrounding the long-term future of Sebastian Coates, and record appearance maker Jamie Carragher entering the twilight of his career, Rodgers has made a defensive recruit one of his priorities on Merseyside in the summer.
Liverpool have already completed the signing of Daniel Sturridge from Chelsea this month, and are poised to announce the capture of Brazilian attacking midfielder Philippe Coutinho from Inter Milan, which would represent quite a transfer coup for the Premier League side.