The Scottish giants won their domestic league and cup Double last season as well as memorably reaching the knockout stages of the UEFA Champions League.
But influential midfielder Commons thinks Lennon will not be satisfied and will be demanding more from his squad in the coming term.
"We will all be sitting down within the next week or so and discussing how we can at least emulate the last campaign or do better.
"You can be sure he will want us to win the Treble and, at least, get into the last 16 of the Champions League.
"He demands that we improve every year and will not let us stand still."