The 30-year-old has struggled since returning to the side in January.
The 30-year-old missed a large part of the campaign - making one appearance for the Hoops in around three months - and has not looked quite the same player since his comeback in January, with most notably Rangers' Andy Halliday giving the midfielder a torrid time in the Scottish Cup semi-final.
And Brown admitted that his recent performances have not been up to the standards that he tries to set himself.
"My form has probably not been the best. It could be a lot better. But I am my own biggest critic and always put myself down," he told The Scottish Sun.
"I know I could do better no matter when I am playing or where I am playing. I always believe I can run a wee bit harder, tackle a bit better or be more composed on the ball."
Though the former Hibernian man has admitted that he has been off the boil since his return at the start of the year, he has not been the only member of the Bhoys' squad who has not been at their best.
Nevertheless, the Hoops are on the verge of securing their fifth Scottish Premiership title in a row by a comfortable margin, which should give them confidence that when they do rediscover their best form, they could find it even easier to clinch the title.
And Brown will be hoping that the arrival of a new manager in the summer will give him the confidence boost he needs to get back to being the player that dominates the midfield battle and drives him team on to success.