The St Helens coach had previously expressed his desire to carry on performing his international duties.
However, the caveat to that was that it would not intrude on his work with Saints, which he insisted was his main priority,
Woolf echoed that sentiment when questioned on the matter, but confirmed that he believes he can do both jobs moving forward.
“I’ve spoken at length with St Helens about that and they’ve been very supportive about me continuing with Tonga,” he said.