The Reds have scored twice across their opening two games, beating AmaZulu 1-0 and drawing 1-1 with Ajax Cape Town, but the manager is unperturbed as he continues to focus on next month's season-opening trip to Everton.
"That [the lack of goals] is not the most important thing," Sir Alex told MUTV. "We want to keep our heads held high in terms of our performance level and making sure we get a result.
"But at the end of the day when we get to that last pre-season game in Hanover [on 11 August] we want to be confident the team is ready for the first game of the season."
Part of the Reds' preparations for the season proper have been the efforts to stave off jetlag, a move which has led the squad to remain just two hours ahead of British Summer Time, rather than adapting to the local timezone in Shanghai.
"I think it helps staying on European time," said Sir Alex. "Obviously we lose a little bit of daylight with the way we've operated but in terms of our recovery when we go back to England we felt it was the right thing to do.
"We assessed all that before we came. Hopefully we've done the right thing and when we go back we don't have to worry too much about jetlag."
United's next warm-up game comes against Shanghai Shenhua on Wednesday, and the boss and his players are steeled for another physical challenge against their Chinese hosts.
"We've experienced it in the two games in South Africa and it will be much the same tomorrow," he said. "They'll be very committed, very enthusiastic,