The Dons boss has been under-fire for a poor run of results which has netted just one win this year, leading to some supporters to protest with banners outside the club’s ground.
But following the 2-0 defeat to Hibs at Easter Road on Saturday, which left the Dons five points off third place, Cormack has given his manager his public assurance.
In a statement on the club website Cormack said: “Derek and I met on Sunday and discussed the team’s poor run of form since the turn of the year.
“From my personal perspective there is no doubting Derek’s continued desire to drive success for the club.
"Having qualified for Europe seven seasons in a row, and with a healthy 54% win-rate over almost 400 games in charge, it’s important that Derek focuses on integrating last week’s three new signings, and getting the team back to winning ways.
“The board met today and are fully behind Derek getting us back on track, as he’s demonstrated countless times over his eight year tenure.
“We’re at the business end of the season and we still have 33 points to play for. It’s critical that we all get behind Derek and the team as we strive for the best possible league finish and qualify for European football once again.”
Aberdeen host St Mirren on Saturday and play Celtic away next Wednesday.