Goalkeeper Begovic is on-loan to June from Bournemouth, while Denmark defender Kjaer is on similar terms from Sevilla.
Boban admits permanent transfers are being seriously considered for both experienced players.
“Begovic and Kjaer? Nothing to add to what we have seen on the field.
"They are experienced players who have made Milan stronger, it's likely that they can do it also in the next seasons," he said.