Levein described the player's return as a "no-brainer" following the involvement of an un-named third party.
He said: "It's a big plus for me and the rest of the team for him to be involved.
"I got a phone call through a third party during the week and that was an indication from that person that Steven was desperate to come back and play.
"Things progressed between myself, this third party, his agent and the boy himself.
"I got a text saying he was willing to have a chat about it so I called him (on Monday night) and, as he said to that person, he was desperate to come back and play. For me, then, it's a no-brainer."