Luton have signed former Peterborough and Brighton striker Craig Mackail-Smith on a two-year deal.
Norwich City have completed the signing of goalkeeper Jake Kean following his release from Blackburn Rovers.
Reports had surfaced that the two had been involved in a training-ground altercation and Riise's brother Bjorn Helge, a former Fulham player himself, was quoted in Norway as criticising Jol's managerial style.
But 57-year-old Jol feels his relationship with John Arne Riise has only deteriorated slightly since he dropped the Norway international from his starting line-up.
"My relationship was fantastic and is probably still okay, it is still good," he said.
"You know as well as I do that it is the same all the time in England, if a player isn't playing the reason is a bust-up, but I never had a bust-up with any player."
Jol explained that the decision to drop John Arne Riise from the side came in the wake of poor results and that he expects the former Liverpool full-back to work hard to regain his place.
"I had good conversations with players and I had a conversation with him again today and there is no problem," he said.
"I wanted to change a couple of things after the Liverpool game and that is what we did. He will fight for his place like any other player would do if he isn't playing."
Kieran Richardson was deployed as left-back for the draw against Wigan last weekend and Jol can also call on England Under-21 international Matthew Briggs.
If Riise cannot find a way back into the Fulham side, Jol has said he will leave the decision on whether he moves on in the hands of the player.
"I have a good relationship with John and I had a fantastic relationship when he was playing," he said.
"That is speculation unless there is a club coming in for him, and I told him I have got a few other options there, if he is doing better in certain areas he will be a very good player for me and if not I have got other options.
"Obviously players want to play and if he is not playing the next couple of weeks it is up to him (if he wants to leave)."
Bjorn Helge Riise was quoted in the Norwegian press as saying he was 'not surprised' to hear his brother had fallen out with Jol, with quotes attributed to him which questioned the managerial style of the former Tottenham boss.
Jol said he had not read the comments but said the player, who now plays for Lillestrom, had called the club to deny making the alleged inflammatory remarks.
"I haven't seen it, all I know is that he came back to Sarah (Brookes, Fulham's communications director) and he was almost crying and said it is not true," he said.
"I had a fantastic relationship with him. He said 'I never said anything' and I will take his word for it.
"Even when they have said something, because sometimes where there is smoke there is fire, you know that players will always try and get excuses because it is not nice to say you didn't play because you weren't playing good enough."
It remains to be seen if John Arne Riise will feature in the Fulham squad for Saturday's match at reigning Barclays Premier League champions Manchester City, where Jol will still be without injured duo Mahamadou Diarra and Kerim Frei.