The 19-year-old has been strongly linked with a big-money move to Old Trafford with Red Devils boss Sir Alex Ferguson admitting the club were interested in signing him.
However, despite still having four years left on his existing deal, Baptista has stated the club are ready to offer him fresh terms.
"It's possible we change his contract," Baptista told UOL. "He has four more years of contract. We may call him to extend, renegotiate his contract, maybe for 18 more months."
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Baptista also confirmed Moura’s parents has travelled to England but denied it was to hold discussions over a potential move to last season’s Premier League runners-up.
"His family went to England just to watch the Olympics, they had already told us they would," he added.
Sir Alex recently confirmed he hopes to bring at least one more player to the club before the transfer window closes at the end of next month, with Everton’s Leighton Baines and Arsenal’s Robin van Persie both linked with a switch.