Rumours linking the Wales international with a move to the Chinese Super League have resurfaced as the January transfer window draws nearer.
He almost left for Jiangsu Suning during the close season, only for Madrid to reportedly cancel the deal at the last minute.
Zinedine Zidane tried to force him out amid suggestions Bale has failed to embrace Spanish culture but, speaking ahead of Wednesday's LaLiga game against Leganes, the head coach claimed his winger is still happy at the Santiago Bernabeu.
Star midfielder Modric, who swapped Tottenham for Madrid a year before Bale, holds the same view.
"Gareth and I are very similar. We are shy and sometimes we don't talk much," Modric told Club del Deportista.
"Gareth speaks and understands Spanish, and there is a good atmosphere and he gets along very well with his team-mates and is delighted to enjoy Madrid and the best club in the world.
"Of course, everyone enjoys their own way and you have to respect their way of being. He is exemplary with his behaviour. I get along very well with him."
Fresh speculation surrounding Bale's future arose following his meeting with agent Jonathan Barnett in London on Monday.
Zidane said the trip was "personal reasons" and that Madrid knew of his plans.
Approached for comment by a Spanish broadcaster, Barnett added that Bale is completely content at the club.
"Gareth Bale is delighted to play for Real Madrid," he told Deportes Cuatro.
Bale, 30, has not featured for Los Blancos since suffering an injury – initially suspected to be cramp – while playing for Wales against Modric's Croatia on October 13.