But Rangnick says neither Keita - who scored in Leipzig's 3-1 defeat of Schalke on Saturday - nor Liverpool have made any such requests.
A £51million deal is already in place for the Guinea worldwide to arrive in the summer.
Liverpool had agreed a £48 million plus deal last August but Leipzig were eager to hang on to the 22-year-old for the duration of the season, unless the Merseyside club parted ways with an extra £13 million sweetener fee in January. "We don't have a reason to sell before the summer". He will play with us until the end of the season. "There isn't more to say".
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But the sale of Philippe Coutinho to Barcelona has left a gaping hole in their midfield and they've reportedly been investigating ways to bring Keita over six months early.
"Neither the player has told us that he wants to change, nor is there an offer from Liverpool", Rangnick told Sky Deutschland.
But Leipzig do not want to lose Keita this month as they still remain in a battle to secure Champions League qualification for next campaign and find themselves in the round-of-32 of this season's Europa League.
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In one article, Bild repeated that stance several times, and it's believed Keita's concentration is drifting more towards Liverpool, meaning Leipzig are less determined to keep him.
A few people even identified Keita's lack of celebration as a clear hint that the Guinean is leaving for Anfield early and that the goal could be his last in a Leipzig shirt, although the fact the goal took a massive deflection may have had something to do with the midfielder not celebrating as much as usual.
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