The Old Trafford boss says his side's match at the Britannia Stadium was a test which they passed and demanded a repeat against West Ham
The Red Devils' win over the Potters came after back-to-back defeats to Chelsea in the FA Cup and Manchester City in the Premier League.
The 71-year-old was delighted with his players' performance in the blustery conditions against Tony Pulis' side's style of play.
"I always say you don't leave your character in the dressing room and I think we saw that against Stoke," he told the club's official website.
"The Britannia Stadium is not an easy place to go to and we had this swirling wind in the first half in particular, which was difficult, but nonetheless we had to find a way through it and we kept our composure. We weren't over-anxious about the game - we kept playing the ball, passing it around.
"We didn't make a lot of chances, but we've done that at Stoke over the last six years and made very few chances but usually won the games: a late goal from [Carlos] Tevez, a late goal from Chicharito.
"The performance and the character the players showed was terrific."
The Manchester United boss now turns his attention to Wednesday night's trip to Upton Park to face West Ham with his side needing only seven more points to clinch a 20th league title.