Moyes was confirmed as the new Sunderland manager on Saturday morning.
David Moyes before the match
The former Everton and Manchester United manager was confirmed as the Black Cats new manager on Saturday morning.
He replaces Allardyce at the Stadium of Light after he was confirmed as the new England manager on Friday afternoon.
Sunderland manager Sam Allardyce
His main aim will be turning the side into a regular top half contender and not the one that has regularly had to fight against relegation in the last few years.
Allardyce started that process in keeping the up last season and Moyes says he is looking forward to continuing his predecessors work.
“I am delighted to have joined Sunderland. I am relishing the challenge and excited by the opportunity," he told the club's official website.
“I have taken over a big British club, with a great support and I’m looking forward to working in the Premier League again. I look forward to continuing the good work done by Sam”.
David Moyes and Uwe Rosler watch from the stands
Chief among Moyes plans this summer will now surely be kicking off their transfer business.
They are yet to sign any new players, with Allardyce having previously admitted to his growing frustration about the lack of movement.
With the Mirror reporting yesterday that he could be handed £40 million to spend on improving the squad, and with just three weeks to go until the start of the season, he is likely keen to get new signings secured as soon as possible.
Real Sociedad manager David Moyes watches from the stands