The Reds, in the middle of contract disputes with Raheem Sterling and Jordan Henderson, are reportedly willing to pay Alves higher than their general rate.
The Barcelona man is out of contract in the summer and looks set to leave the Nou Camp.
Liverpool, along with Manchester United, are understood to be interested in the Brazil right-back.
And, according to the Metro, Brendan Rodgers has sanctioned a deal worth £120,000 for the 31-year-old.
Last week Sterling gave an interview claiming to have rejected a deal worth £100,000-a-week and the feeling is he's holding out for more money despite saying he's not a money-grabber.
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Dani Alves to be offered £120,000-a-week to join Liverpool
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