It’s a tricky question, which rests on our understanding of what dukkha really is, and what the cessation of dukkha looks like - and when it occurs. Logically, cessation of dukkha would occur either at the point of Nibbana, or with the death of the Arahant. I find the suttas somewhat ambiguous actually. Nibbana is usually described as the cessation of the taints rather than the cessation of dukkha, though there are sutta passages which seem to describe the cessation of dukkha as a living experience for the Arahant, occurring at the point of Nibbana.
See for example the verses at the end of Dart Sutta, which includes a reference to the the “dust-free, sorrowless state”:
"The wise one, learned, does not feel
The pleasant and painful mental feeling.
This is the great difference between
The wise one and the worldling.
For the learned one who has comprehended Dhamma,
Who clearly sees this world and the next,
Desirable things do not provoke his mind,
Towards the undesired he has no aversion.
For him attraction and repulsion no more exist;
Both have been extinguished, brought to an end.
Having known the dust-free, sorrowless state,
The transcender of existence rightly understands."