Mane has been heavily linked with a move to Real, although the Daily Mirror recently claimed Liverpool will resist all offer from Los Blancos.
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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.