"New Zealand Cricket are still working through the government process with the government and Sport New Zealand on that. Haven't heard anything yet but we are hopeful we will get them before we go. But it's still just waiting for that process to run through."
Stead added they were also awaiting information on protocols they will face upon arrival in the United Kingdom.
"I just don't know just yet. I'm hearing five or six days and again I don't know if that means after three days you can train or what it looks like … that will be worked through and we'll know in due course."
But it's good news for newcomer to the test squad Devon Conway who has successfully gained New Zealand residency, meaning he is free to return to the country at the end of the tour.
The South African born batsman was facing being locked out of New Zealand without residency.
"We're pleased for Devon and his partner Kim who have managed to get that over the time. It's been one thing that's been on his mind that's not there anymore. Who knows? Hopefully one less thing on his mind means he might score more runs," Stead quipped after Conway's stellar summer with the bat.
The two England tests take place at Lord's starting June 2 and Edgbaston on June 10. The squad will then be trimmed to 15 for the World Test Championship Final at the Ageas Bowl in Southampton starting on June 18.
Players involved in the IPL will be managed on a case-by-case basis depending on when their team exits the tournament.
New Zealand test squad for tour to England:
Kane Williamson (c), Tom Blundell, Trent Boult, Doug Bracewell, Devon Conway, Colin de Grandhomme, Jacob Duffy, Matt Henry, Kyle Jamieson, Tom Latham, Daryl Mitchell, Henry Nicholls, Ajaz Patel, Rachin Ravindra, Mitchell Santner, Tim Southee, Ross Taylor, Neil Wagner, BJ Watling, Will Young.