At the start of the 2015–16 season, Speroni lost his first choice goalkeeper role and was dropped to third-choice goalkeeper in that season, behind Wayne Hennessey (whom he competed since 2014) and Alex McCarthy, as well as, his own injury concern. Speroni also faced a finger injury that saw him miss the club's pre–season tour and upon returning from injury, he continued to spend most of the season on the substitute bench. Speroni made his first appearance of the season against Manchester United on 20 April 2016, losing 2–0. He then made his second appearance in the league match against Southampton in the final day of the season, losing 4–1 and his appearance in the match equalled John Jackson’s club appearance record as a goalkeeper in all competitions. Speroni appeared as an unused substitute in the FA Cup final against Manchester United, as Crystal Palace lost 2–1. At the end of the 2015–16 season, he went on to make two appearances in all competitions. Following this, Speroni signed another one-year contract extension on 13 June 2016 to remain with the club until the end of 2016–17 season.