"I really want it, but we still have 90 minutes to play to achieve our target," he said after the semifinal against Myanmar in the northern Quang Ninh Province on Wednesday.
"Right now we are focused on recovering for the final against Thailand."
Chung is Vietnam's most decorated women's football coach ever. He has won the SEA Games title four times with the team, including the last two in 2017 and 2019.
With vocal support from nearly 20,000 home fans in Cam Pha Stadium, Vietnam completely dominated the semifinal. But they could score only once from captain Huynh Nhu's header.
"My players played with great spirit but there are some areas that need to be improved in terms of tactics and coordination.
"Both teams were strong, but Vietnam were better in possession and had more shots at goal."
There has been criticism that Vietnam are too dependent on overage players, but Chung disagreed.
"It is unfair to say that. A team must be balanced. If there are only veterans, they will run out of stamina quickly. If we only have young players, then we won't have experience. We have to have balance, and that's our intention."
Chung also showed appreciation for the fans who lined up from 3 a.m. to buy tickets for the game, saying it encouraged the players to fight.
Vietnam will play the final in Cam Pha on Saturday.