He conceded four goals in his debut at the Baseball Ground on 25 December, but in the return match the next day, his 20th birthday, he kept a clean sheet in a 2–0 win. After making his debut, Swift played in every first team match for more than four seasons, a run of more than 200 consecutive matches. His only absence prior to the suspension of football due to World War II was a single match in September 1938, where without Swift, Manchester City lost 6–1 at home to Millwall. Though Swift quickly established himself as a fixture in the Manchester City first team line-up, his performances were not all positive. In one of his early matches, against West Bromwich Albion, Swift conceded seven goals. This led Swift to believe he would not be picked again, but with Langford unavailable due to a knee injury, Swift kept his place. Despite inconsistency, Manchester City were one of the stronger sides of the 1930s, and in Swift's first season the club reached the FA Cup final for the second successive year. This period saw football match attendances reach an all-time high. During the cup run Swift played in front of 84,569 people for Stoke City's visit to Maine Road, a record attendance for an English club ground which still stands today. Hillsborough's attendance record of 72,841 (receipts £5,566) was also set by City during this Cup run. The semi-final, against cup favourites Aston Villa, ended in a 6–1 victory, a record for an FA Cup semi-final. In the final, Manchester City faced Portsmouth. Swift, the youngest and most inexperienced of the team, was nervous. As the playing surface was wet, he was unsure whether or not to wear gloves. Seeing Portsmouth goalkeeper Jock Gilfillan take to the field without gloves, he decided to follow suit. Portsmouth took the lead in the first half through a Septimus Rutherford shot. At half time Swift slumped in the dressing room, blaming himself and his decision not to wear gloves for the goal. Forward Fred Tilson attempted to improve Swift's spirits by telling him not to worry as he would "plonk two in next half". Tilson duly scored two second half goals, the second with less than five minutes remaining. A tense finish followed, in which a photographer behind Swift's goal gave regular updates of the time remaining. At the final whistle, Swift was so overcome with emotion that he fainted. He recovered in time to receive his winners' medal from George V, who sent a telegram enquiring about his condition on the following Monday.