Mane has been heavily linked with a move to Real, although the Daily Mirror recently claimed Liverpool will resist all offer from Los Blancos.
Reports from Spanish media outlet claim the opposite, with Ok Diario stating the Reds have demanded £196m (R3.65bn) to let the Senegal captain go.
However, Romeu, whom he played 30 games alongside during the 2015/16 season before he departed for Anfield in a £34m transfer - feels he's ready for the next step.
"Yes, he is prepared (to make the jump to playing for Real Madrid)," he said, as per Marca.
"Madrid are a little weak in attack and he's the type of player that does a lot of damage in open spaces. He could help them reverse their current situation."
The 26-year-old has provided The Reds with 20 goals and four assists in 38 games across all competitions this season.