"Tim has been a bit ginger the last couple of games but we're hoping he'll scrub up [for the England match]. He's had a sore ankle for a while. It's probably affected his performance but hopefully he'll be right.
"It's been giving him discomfort, especially with a heavy workload. We knew it would take its toll at some stage. Fortunately we've got cover in Doug [Bracewell] and Ian [Butler]."
In contrast, Daniel Vettori's left Achilles tendon came through the match against Australia fine. Hesson was hopeful he would play against England.
Hesson said they would also be persevering with Luke Ronchi as an opener, despite a return of 45 runs in five bats since his New Zealand debut.
"We've got a bit of faith in Luke. He plays aggressively and he'd be disappointed in his shot selection over the last couple of games. However, he's capable of winning a game for us inside 20 overs if he gets things right. That's an important option to have. He's finding his feet back in international cricket and I'm confident he'll finish the tournament well.
"It's not like the ball is swinging a lot so it's just his decision-making. Once he gets underway and gets confidence he can be destructive.
"He has still played a big role [as wicketkeeper] in the last few ODIs. He hasn't had a big score but has offered momentum at the start a couple of times. He hasn't batted as long as we'd like but we're asking him to play a certain role and if it comes off, look out."