The 26-year-old missed our midweek trip to Villarreal in the Champions League following the knock to the head he suffered in the recent defeat at Watford.
But despite Shaw's best efforts, the Chelsea game came just too soon for his return, with Alex Telles selected in the starting XI to face Thomas Tuchel's league leaders.
Ahead of the match, Carrick spoke to club media and offered the latest on Shaw's situation.
“Luke obviously had the bang on the head [at Watford] and we were assessing him and he just wasn't quite right,” he explained.
“He didn't quite get fit enough in time for the game.