The Anfield club lodged a formal bid of €30 million with Anzhi Makhachkala for the Brazil international and are hopeful of completing the deal within.
Liverpool are confident of beating Tottenham to the signing of Brazilian winger Willian.
The Merseysiders hope to reach an agreement with his club Anzhi Makhachkala in the next 48 hours after lodging a formal bid of €30 million for the in-demand forward.
Liverpool have indicated that they are willing to match Willian's current €100,000-a-week salary in order to convince him to move to Anfield.
The Reds have also attempted to smooth negotiations with Anzhi by offering the Russian club a sell-on clause in which they would receive 50 per cent of the profits of any future sale.
Tottenham have also held talks about buying Willian, who is a long-term target of theirs, but are not yet believed to have made an offer.
The 25-year-old is expected to make a decision about his next destination by Tuesday night, with the likelihood growing that a deal could be formalised by the middle of the week.
The Brazilian revealed earlier in August that he was "hopeful" that a move to the Reds could come to pass this summer amid Anzhi being willing to offload some of their biggest earners, including Samuel Eto'o, in an attempt to trim costs.
Willian said: "For now, all there is are talks. There was the Manchester City bid [of €40m], and that was turned down [before Kerimov decided to reduce funding] and that was a while ago.
"Now, I'm waiting for a new bid to arrive in the next days from a few clubs, like Liverpool. If it's really Liverpool, then it is surely a great club. I'm hopeful and very calm, just waiting for the best."
Meanwhile, Aly Cissokho is expected to undertake a medical on Monday ahead of completing a season-long loan move to Liverpool from Valencia. The Merseysiders are believed to have the option to sign the French left-back on a permanent basis for around €4.6m in 12 months' time.