Admitting I had a problem with gambling was not something I could do whilst I was still gambling. It got easier to admit about it as a past problem – perhaps because I then could be seen as someone who was doing something about it. From where you are now – I would not feel able to admit it to my bosses.
Although I think I could admit to something like stress – which is less specific and affects a lot of people in professional jobs. Perhaps if you could get your doctor to sign you off for a couple of weeks with that – it would cover you and would not be that far from the truth – gambling is a sign of stress and is itself stressful.
Glad you are feeling positive.