The Premier League club have been heavily linked with a move for the 20-year-old Brazilian international in recent weeks.
Borussia Dortmund are also thought to be keen on Bernard, but White Hart Lane has now emerged as a likely destination for the player.
"Dortmund have not submitted a proposal," Hissa Moyses told O Jogo. "Therefore, Tottenham are the only contenders."
Bernard is currently on international duty with hosts Brazil at the Confederations Cup.