"My understanding is there is nothing to say", he replied when asked whether Keita could join early.
"There are no inquiries or offers for any player who is on the pitch on or the bench for us today from any club", said Rangnick, who added that an increased offer would make no difference.
The box-to-box midfielder has already agreed a £48million move to Liverpool with a clause which states the player won't be registered until the end of the current season. "There isn't more to say".
"The situation is the same as it was all season - there's no reason for us to let Naby Keita go early", he told the BBC.
"I won't start doing that now".
But with Liverpool one of four teams separated by just three points between second and fifth place in the Premier League, it is by no means guaranteed a UEFA Champions League spot, even if it do occupies the final qualification spot ahead of Monday's (AEDT) clash with Manchester City. And in the summer he will be here, that's what I know.
Liverpool are hoping to bring forward the Guinea international's move to Anfield and have been encourages after RB Leipzig recently softened their stance, according to Bild.
The Reds have an agreement in place for the Guinea global to join them in July, having paid a premium to secure his services before a £48million buy-out became active in the summer.
Rep. Martha McSally Finds Her Inner Trump
Jeff Flake quit his re-election campaign because he had lost so much support from the Republican base after criticizing Trump. The plane honors a connection to the female pilots who trained in World War II and delivered warplanes to combat assignments.
It's flu season in the Bitterroot
Henry Ford Health System has seen a higher-than-normal volume of flu cases, said media relations director Brenda Craig. So far this winter, there have been 93 flu-related deaths in England, according to Public Health England.
Lucas Moura to Manchester United?
The Brazil worldwide joined Paris Saint-Germain from Sao Paulo for a fee in the region of 40 million euros in January 2013. Meanwhile, after recently turning 17-years-old, has signed his first professional contract with United.