The reigning Premier League champions beat Stoke City 2-0 to move into the final four of the league cup but Moyes was trying to remain calm despite there now being a Wembley final up for grabs.
"Manchester United Football Club are used to winning trophies, so it's no surprise to them and it's nothing different. It's business as usual but we are all delighted that we're in the semi-final," he told Sky Sports.
"Going into the last couple of rounds it looked like the top teams were going to be in and around the semi-finals, but some big results tonight and last night mean it has changed around a little bit."
United will get the chance to meet either Manchester City or West Ham United in the March final provided they can successfully navigate Sunderland in the two-legged semi-final which commences in early January at the Stadium of Light.
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