Arsenal loanee Tyreece John-Jules joined back up with the Ipswich Town squad this week.
The 22-year-old forward scored three goals in 10 starts and 11 sub appearances at the start of the season before suffering a major hamstring tear.
After undergoing surgery last November, he underwent rehab back at his parent club.
“Tyreece is back with us, so that’s been good," said McKenna, speaking ahead of tomorrow's League One game at MK Dons.
"As I’ve said before, he’s a really popular person around the training ground so everyone has been happy to see him and have him back.
“He’s working on the grass and we’re looking to have him training with the group in a couple of weeks."
Asked when John-Jules may be available for the first team again, McKenna said: “Look, he’s had a fairly major surgery on his hamstring, so you never like to put exact deadlines on it.
"It’s step-by-step at the moment. He’s working with the fitness coaches on the grass and that’s going well.
"The first step has to be getting back into training with the squad, which is a couple of weeks away, and from there we’ll make assessments on when’s going to be the right time to reintroduce him to the team."
Asked if there were any fresh injuries following on from last weekend's 4-0 home win against Forest Green Rovers, McKenna said: “No, we’re in a pretty good place. Everyone who was available last week is available now.
“George Edmundson joined back in training yesterday, so we’re in a strong spot."
Quizzed as to whether Massimo Luongo might be ready to make his first start for the club since joining from Middlesbrough last month, the Blues boss said: “I think from a physical point of view he’s had a good week.
"We’ve been managing him back in after the little niggle that he had. But he’s been training all week, he feels good and is ready to contribute."
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