On 29 November 2019, midway through his first Premier League season with Aston Villa, Smith signed a contract extension lasting until 2023. In the EFL Cup, Villa advanced past Crewe Alexandra of League Two and four Premier League sides in Brighton & Hove Albion, Wolverhampton Wanderers, Liverpool and Leicester City to reach the final at Wembley Stadium; they lost the final 2–1 to Manchester City. In the league though, Villa were four points deep inside the relegation zone with four games left to play of the 2019–20 season, but pulled off what he called a "magnificent achievement" to clinch survival on the last day with a 1–1 draw at West Ham United. He elaborated by saying "I thought we used the pandemic really well. We've been solid defensively, we have looked strong and managed to stay in the Premier League."