The midfielder arrived at the Ricoh Arena in September on a rolling month-to-month deal but has impressed for the League One promotion chasers under boss Mark Robins, making 23 appearances and scoring four goals.
Moussa, 23, will now remain with the Sky Blues until the summer of 2014.
He told the club's official website: "The manager wanted me to sign and I was more than happy to do that and I'm happy now that it's done.
"I'm really enjoying my football at the moment and I feel like I'm in a good environment to improve and develop as a player.
"It's a good opportunity for me here and I'm happy to be here and hopefully things can keep going well.
"At the start of the season the club wanted to look at promotion but the start wasn't great but we're starting to catch up a bit now so we will see where we can take it."
- Sports & Recreation