After university, Bendik signed with Norwegian club Sogndal. He began the 2010 season as a backup, and made his professional debut in the first round of the Norwegian Cup against Årdal FK. Bendik ended the season starting in four league matches helping his club gain promotion to the Norwegian top flight. Bendik began the 2011 season as the starter, and made his Tippeligaen debut on March 20, 2011 against Strømsgodset IF. He ended the year starting the final two matches of the season, including a 2–1 victory over eventual league champions Molde FK.
On February 24, 2012, Bendik signed with the Portland Timbers of MLS. He made his Timbers debut as a second-half sub for an injured Troy Perkins in a 2–0 loss to the Montreal Impact.
On December 12, 2012 Bendik was acquired by Toronto FC along with Portland's third overall pick in the 2013 MLS SuperDraft in exchange for Ryan Johnson and Miloš Kocić. While originally considered a back-up, Bendik went on to make 33 appearances for Toronto during the 2013 season after starting goalkeeper Stefan Frei was injured during a pre-season friendly. On December 1, 2015, it was announced that Toronto FC had declined their options on Bendik, and that he would not return to the team. Along with Bendik, fellow goalkeeper Chris Konopka's options were also declined, leaving the team with only one goalkeeper Quillain Roberts.
On December 21, 2015, it was announced that Bendik had been traded to Orlando City in exchange for a conditional fourth-round pick in the 2017 MLS SuperDraft. Despite conceding a league high 60 goals for that season in his first league campaign with Orlando, Bendik became a fan favorite as he played every minute of the club's 34 league games, making 114 saves and posting 5 shutouts. He won 11 "MLS Save of the Week" awards in the process and his stop against Sporting Kansas City's Dom Dwyer in the Lions' 2–1 road loss on May 15 was voted "MLS Save of the Year". After a difficult 2018 season in which the team conceded an all-time MLS record 74 goals and Bendik himself had lost the starting job to both Earl Edwards, Jr. and then again to Adam Grinwis, his contract option was declined at the end of the year. At the time of his departure he had the second most appearances in the team's post-expansion history behind only Cristian Higuita.
