"After a couple of days off with a lot of treatment on it, I came back in on Tuesday and got through that session and since then it's been fine.
"So it's a positive but it's just so frustrating that in that four or five days where it tightened up the Nines was on and that was something I really wanted to be a part of.
"I'm starting tomorrow so I'll get out there and hopefully have a solid hit out. I'm aiming for around half a game maybe a little more but we'll see how we go."
Johnson's fortune was not shared by young forward Jazz Tevaga who exited the session early after suffering an ankle strain.
Tevaga will be given until tomorrow to take his place in the extended 23-man squad but if not fit Kearney indicated either Erin Clarke or James Bell could fill in.
Both teams are also preparing for the prospect of playing in searing conditions, with a heatwave due to strike Queensland over the weekend and temperatures expected to climb into the high 30s.
Tuivasa-Sheck said the side had readied themselves as best they could for the heat and humidity but said nothing could replicate game day conditions.
"The coach has brought some thermal heaters into the gym and he's been getting us to train in skins and track suits during the day," he said.
"We tried our best to prepare ourselves but it might be a different story tomorrow."
Kearney downplayed the measures taken and wants his players to produce the goods regardless of the weather.
"I don't have any control over that and the players don't, so whatever tomorrow dishes up we've just got to deal with it," he said.
The issue is of little concern to stand-in Melbourne captain Kenny Bromwich with the Storm accustomed to training in extreme heat and humidity.
"I've thought about it a little bit but it's been really hot in Melbourne too," said Bromwich.
"It will be hot for us but it will be hot for the Warriors too. If it's hot it's hot and if not then it's all good."