The Reds have been strongly linked with a mid-season move for the Brazil international since having a summer enquiry knocked back.
However, This Is Anfield understands that they do not intend to join any prospective mid-season race for Andre, who is thought to also be admired by Fulham and Arsenal.
Liverpool explored the possibility of a move for the 22-year-old as part of the midfield rebuild overseen by Jurgen Klopp and Jorg Schmadtke over the summer.
But they were given no encouragement that a deal could be struck at that point, with Fluminense determined to keep Andre for the remainder of their Copa Libertadores run.
That decision ultimately paid off, with the midfielder playing a key role in the Brazilian clubs first ever continental success.
They defeated Argentine giants Boca Junior in the tournaments final in Rio de Janeiro on November 4.
For Liverpool, though, that summer snub meant they were forced to move onto other targets, with Wataru Endo and Ryan Gravenberch subsequently signed instead.
As such, there are no plans to return for Andre despite Fluminenses willingness to strike a deal in January.
And the continued links with a renewed move for his services have left Anfield insiders baffled.