Uli Stielike's South Korea kicked off their Group A campaign with a narrow 1-0 win over Oman at Canberra Stadium on Saturday.
Cho Young-cheol's goal in first-half stoppage time was the difference between the two teams in Australia's capital city.
Stielike, who said he was happy to start the tournament in a tough manner, wants improvement from his side in the final third after managing six shots on target despite a total of 596 passes compared to Oman's 288.
"When you are not able to keep the ball like we weren't in the first half in the final third, then you'll always be under pressure in defence," the German said.
"That's what happened, so we can't talk about a weak defence if we are not strong enough in our offensive game.
"In second half I think we did things in a calmer way and our game improved."
Despite the close scoreline in Canberra, South Korea should expect a sterner test against the Kuwaitis when they return to the nation's capital.
Kuwait went against the script in Melbourne, taking an eighth-minute lead and threatening to spoil Australia's party.
"It is very difficult to have the players who are injured return quickly to the tournament … maybe it is very difficult to prepare Hussain Fadhel for the next match," Kuwait coach Nabil Maaloul said.
History is against Kuwait in fixtures between the nations, with South Korea winning the five previous encounters, scoring 13 goals and conceding just one.
