Burn, who is currently recovering from injury back at the Club after helping Yeovil into the League One Play-Offs.
"My hopes are that he will be fit and play a big part in the rest of their season. He could probably help them," Jol told fulhamfc.com. "We have four centre-backs and of course one of them cannot get into the squad... he is young but he is making fantastic progress and they love him there so hopefully we can get him fit in the next week or so and play a role for Yeovil.
"He needs games to improve. We have players in his position and he won't play at the moment so it's a fantastic structure to put them [the youth players] on loan and get guarantees that they will play at another club - and if they play then I am happy to put them on loan."