Giggs oversaw victory against Norwich City in his first game in charge.
Asked if it would take more than one transfer window to make up lost ground, Giggs said: "No, I don't think it will. I think we won the league last year. The year before we lost it on goal difference, the year before that we won it.
"Liverpool - what did they come last year, seventh? - who would have said they'd be where they are this year? So a lot can change.
"We've certainly got the players, we've got everything in place to have a successful season next year.
"I'm confident there are players at the club that can challenge next year. It's going to be hard, obviously, because we've had a tough season and the lads at Liverpool have improved and other teams around us have improved.
"But yeah, I'm confident that we have got the players."