According to UOL, Manchester United have made contacts through intermediaries, and after knowing about the player's interest in making the move, promised they would make an offer to Paris Saint Germain.
Moura has played only 79 minutes in all competitions for PSG so far this season, scoring just one goal and assisting one further strike.
The PSG winger was understood to be heading to Old Trafford this month with Telefoot claiming Jose Mourinho has convinced United to act now to sign the Brazilian and ensure they don't miss out in the summer.
After a few short rumours here and there, there's finally a more detailed story about Lucas Moura's possible transfer to Manchester United in the January transfer window.
The Man United boss has responded to a galling 0-0 draw with Southampton by giving his attacking players, along with Paul Pogba, greater freedom to roam the pitch in an attempt to make his side less predicable in attack - a formula that worked wonders during the 2-0 win at Goodison Park.
And he all but admitted it was down to Neymar and Mbappe.
Moura wants PSG to lower their demands for him.
They claim Moura, 25, supposedly has no intention of playing for PSG beyond the end of the month.
The South American wouldn't be a like-for-like replacement for Coutinho as Moura is predominantly a right winger but Klopp might be tempted to sign him as £22.1m is a relative bargain in today's market.