United claimed their first silverware of the David Moyes era when they defeated Wigan 2-0 in the Community Shield.
The victory has eased some of the tension among Red Devils supporters, who had started to become agitated by a combination of poor pre-season form and the lack of fresh blood since Moyes' appointment was announced in May.
However, as Moyes confirmed after the Wembley encounter, he is still trying to bolster his squad, knowing time is ticking down until the window closes on September 2.
With Arsenal equally bereft and high-profile situations involving Gareth Bale, Luis Suarez and, much closer to home, Wayne Rooney still to resolve themselves, there is still evidently plenty of business to be done.
Clearly, Giggs does not have a crystal ball to know who will end up at Old Trafford, with Luka Modric and even Bale still being talked of as potential signings in addition to Everton duo Marouane Fellaini and Leighton Baines.
But he does know that with all but Paul Scholes still remaining from a squad that clinched the title by 11 points last season, United will remain in a strong position.
"The quality is in the squad," Giggs said. "We showed that last year. Now we have to show it again.
"It has been a slow transfer window. Manchester City did their business early on but, other than that, there has not been a lot of movement so it could be a hectic last two weeks.
"We will just have to wait and see how it goes but we are quite happy with the players in our dressing room.
"We won the league with those players so we are looking forward to the start of the season.
"If we sign someone - great. If not we will just get on with it."