"My injury is not too bad but unfortunately Achilles injuries take longer than you would like to heal."
Vettori's plan has always been to build up slowly, using T20.
England's tour begins in February with a schedule of Twenty20s and one day internationals before the tests beginning on March 10, 18 and 26 in Dunedin, Wellington and Auckland respectively.
Vettori was counting the three- to four-months as starting from aggravating the injury in the first week of December - and that must put his availability against England in some doubt. His absence against England would be keenly felt, particularly as New Zealand are still seeking an adequate replacement.
Legspinner Todd Astle was tried in Sri Lanka along with Jeetan Patel but was replaced by veteran Auckland offspinner Bruce Martin for the current tour of South Africa.
Vettori initially instructed Heat officials not to make his three-year deal public until his 2012-13 New Zealand commitments were confirmed.
"Particularly signing this year for three years, even though I've missed this season of the Big Bash, it's been good being around the management and the group so it won't be as tough coming in the build up to 2013-14," he said.
However, Vettori has been given hope of a recovery that could see him make the tests after he visited leading Melbourne specialist Jill Cook - who gave him a positive long-term diagnosis.
"It was worth making the trip to Australia to see her alone," Vettori said. "I also feel that when you are not training or playing you can actually take a step back and see how guys prepare and if you can offer anything, hopefully it's of some assistance."
Vettori and Scott Styris are the only New Zealanders in the second season of the Big Bash. Black Caps skipper Brendon McCullum, his brother Nathan, and James Franklin, were in last year's inaugural Big Bash.
Vettori expects more Kiwis to follow if there are no scheduling clashes with international fixtures in the future.
"More New Zealand players will play in the Big Bash in the future but it's a packed international itinerary so it's never easy to fit everything in," he said. "One of the things that really attracted me to play for Brisbane Heat is the organisation, coaching, and high performance environment that is about playing good cricket. That's what will attract more New Zealand players to want to come here."
Brisbane Heat have only won two of their five matches and are outsiders to feature in the semifinals.
Last season's first international signing, Vettori scored 40 in his only innings with the bat, while his two wickets cost 44 runs apiece, compared to his overall T20 international average of 37 wickets at 19.45 from 37 matches.