In a bid to replace Philippe Coutinho, who joined Barcelona earlier in the week, Liverpool are understood to want to push forward Keita’s arrival on Merseyside.
A £51million deal is already in place for the Guinea international to arrive in the summer.
But reports in Germany suggested Keita would play his last game for Leipzig against Schalke today.
Keita was named in the starting XI and he scored with a deflected strike in the first half.
The 22-year-old came off in the second half as Leipzig ran out 3-1 winners and move into second in the Bundesliga.
But after the match, Rangnick insisted Keita has not informed them of a desire to leave.
Rangnick told Sky Germany: “Neither the player has told us that he wants to change, nor is there an offer from Liverpool.”