Both players will now come into consideration for Friday's friendly against Athletico Madrid at Portman Road as they look to push ahead for a place in Town's starting lineup in their first home game against Cardiff City.
Confirming the news to the Official Club Website, Fitness coach Simon Thadani said: "Both players are back training and should be fine for the Atletico game.
"Kevin has been working hard on his fitness levels once he was clear of the injury and it's the same with Jimmy. They are both keen to get out on the pitch and add to their match fitness."