On 27 August 2011, Adam scored his first Premier League goal for Liverpool in a match against Bolton Wanderers which Liverpool went on to win 3–1. On 18 September 2011, Adam was shown a second yellow card for a challenge on Scott Parker in a 4–0 defeat at Tottenham Hotspur. Adam helped Liverpool beat local rivals Everton 2–0 on 1 October 2011. He then scored a penalty in a 2–0 win away at West Bromwich Albion. Liverpool reached the 2012 Football League Cup Final where they defeated Championship side Cardiff City in a penalty shootout, despite Adam missing his kick. They also made it to the 2012 FA Cup Final, which Adam missed due to injury as they lost 2–1 to Chelsea.