The East Midlands club had their promotion to the Premier League confirmed on Saturday after other results ensured that Queens Park Rangers and Derby County could not catch them.
"Maybe the experience they had last year has motivated themselves to do even better this year," Clubcall.com quotes Keane as saying.
"They got a few good players in the summer and a few good loan players. They always had the talent in their squad, it was just about consistency and grinding out a few wins.
"They've managed to do that throughout the season and I'm really glad they've managed to get up. There's a great manager there and a great squad of players so they deserve it."
Leicester sit nine points clear at the top of the table with six games remaining.