"We want to keep Joseph busy - there are improvements to be made. That was a very, very tricky fight. I had a text from Peter Fury last night saying people don't realise how tricky Hughie can be. It was good to get that one out of the way.
"The team would like to get Joseph in the ring again in December. I've had offers flooding in with emails from all around the world."
Parker pocketed close to $2m for his victory over Fury but, because that fight carried mandatory status, it limited his pulling power. Now free to make a voluntary defence, Parker is keen to maximise his earnings and won't accept anything less than $2m.
"The money should go up over time," Higgins said. "This was a mandatory and a voluntary you have more leverage so the money should escalate fight-by-fight."
With that in mind, a lucrative fight in Tokyo against Japan's Kyotaro Fujimoto (17-1) could well be on the cards.
Fujimoto, ranked ninth with the WBO, one spot higher than Whyte, shapes as a straightforward defence for Parker.
Fujimoto's only loss came in 2012 against Solomon Haumono, who Parker strolled through with a fourth-round TKO last year.
Although Mike Tyson famously lost his world titles - and for the first time - to James "Buster" Douglas at the Tokyo Dome in 1990, Fujimoto would be the first Japanese heavyweight to contest the title at home.
It would also, clearly, be another significant payday for Parker.
"He copped a loss early in his career but my matchmaker says he's solid and he fits the criteria that he's in the top 10," said Higgins.
"Japan is a massive economy; the time zone is fairly close to New Zealand. It's not our only option but it's one we're having a good look at."
Higgins will also keep a close eye on the rematch between Englishmen Tony Bellew and David Haye. "For the New Year the winner of Bellew-Haye looks attractive because they're both big names and big mouths but are beatable in our view.
"We'll see how the chips fall. There's no need to lock in anything beyond one fight. You've got to keep your options open. If Bellew-Haye is a good fight and one emerges as a solid winner, that's something we would look at in March-April.
"The best thing for the division would be a massive unification of several of the belts. The mid-long term goal is obviously that. That would mean fighting Joshua and or Wilder.
"A unification against Joshua would sell out Wembley. As long as both guys keep winning that could happen mid to late next year," said Higgins.
American Bryant Jennings (20-2), managed by Bob Arum, is considered a longer term prospect to garner appeal in the United States where Parker is yet to make his mark.
At this point in Parker's career, fighting in New Zealand is not financially viable and proposals to venture to the Middle East have proved fruitless.
"Some people tell you there's loads of money in Dubai; others tell you they're going through a cash-strapped period. There's no heritage of massive boxing events there. It would be awesome to do it there but that would be a long shot.
"Joe will have a short break but it would be nice to know where we are heading in a week from now."
