The forward, who sustained medial collateral ligament damage in the goalless draw at Crystal Palace on New Year’s Eve, resumed part of training on Friday afternoon.
Monday night’s FA Cup clash at Wigan may arrive too soon for the Brazilian but Jesus and the Blues will be buoyed by the fact he is closing in on a return.
In an exclusive interview with the striker, in partnership with Betadine, Jesus opened up about his injury and the struggles he has faced in recent months,
"At the beginning, it was hard," he admitted, "but after I got used to the situation, I convinced myself that all I could do was to recover in the best way possible - to come back well.
"Of course, in the first few days, it was awful - extremely bad. I was bad. I am thankful that my family were here to help me. They were very important.
"In the last few days, I am feeling better and I am happier. I am recovering well. I keep going strong and each day recovering a bit more so I can return and be at my best.
"A lot of bad thoughts go through my mind, especially when it comes to the knee, which is a very sensitive area. I had never felt any pain before in my knees so I was very scared.
"It was a bad injury. I know they all are but it could have been worse. I am very thankful to God because despite what happened to me, it wasn't the worst.
"It was hard because you have to train alone, exercise alone and do everything alone with the physio so it isn't great. It's actually hard because you feel a bit solitary but on the other hand, it tests your willpower and determination so you can overcome the situation and come back even stronger.
"The players help. They come and talk to me and give me full support. I've always had Fernandinho's support and from the rest. I am happy for their support. It shows that they like me and they care about me - the same way as I do too."
Watch the video above to hear more from the Brazilian...