However, Adams has issued a statement on the Leicester City official website saying that he as no intention of giving up his job.
"It has been a difficult time for everyone connected with the football club over the past few days," the statement reads.
"Firstly, I would like to make it clear that I am continuing as manager of Leicester City.
"It would be true to say I have thought long and hard about my own situation as a result of recent events.
"However, I am determined to see the job through and do my very best for the club.
"Without wishing to prejudge the criminal investigations and our own club investigation, I am deeply concerned about the actions of a minority of my players. I have spoken to them on many occasions about the need to conduct themselves properly on and off the pitch at all times.
"I have held a staff meeting at the training ground this morning to tell them all what I expect of them.
"The board of directors of the club will be heading up a full internal investigation which has my full support. I would like to thank those fans who have pledged their support to myself personally and to the club in general.
"A great many people pulled together to save this club just over a year ago and, right now, all of those people have every right to feel let down.
"It is the responsibility of the players and myself to do everything possible to restore their pride in this football club once again."