The midfielder collapsed after suffering a cardiac arrest during the Trotters' FA Cup quarter-final at Tottenham on March 17, leading to the game being abandoned.
It has since emerged that it took 78 minutes for his heart to start working on its own again, but Muamba has made great progress since then and a week ago a picture of him sitting up in his hospital bed and smiling was posted on Twitter.
Jol believes it is no coincidence that Bolton's fortunes have improved since the incident, with the team achieving three successive league victories for the first time since December 2006.
"It has helped, especially in the first game as they wanted to do it for him," the Dutchman said. "That gave them motivation and they got back to winning ways, which is a mentality as well. That is why I think they are probably better than before.
"You saw them get out of the bottom three or bottom four as they got points on the board. But they still need a lot of points to be safe so I think they will scrap and fight for their life. Before these three wins they didn't do particularly well, not even at home. We had a certain style when we played them at home, we hurt them and hopefully we can do that again away from home."