The 20 year old Irishman has recently burst into the frame at the Walkers Stadium and since his debut against Colchester, where he kept an impressive clean sheet, he has made 14 more appearances. His performances have created some much needed competition for the number one shirt with Paul Henderson and Rab Douglas also fighting for the position.
Speaking about the extended deal, Rob Kelly said: "Conrad is a promising young player and he has got a big part to play in the future of this club. I am delighted that he has agreed to extend his contract.
The contract gives him a bit of stability and also some time to develop".
Logan will be hoping to keep his position between the posts when the Foxes face Welsh outfit Cardiff City at the Walkers Stadium on Saturday.