The DR Congo international suffered a slight knee injury prior to featuring at the Africa Cup of Nations, and could not prevent his country from exiting at the first stage of the competition.
But, having returned to training with his club this week after missing last Sunday's defeat to Tottenham, the 26-year-old is eyeing a starting berth at Anfield.
He told the club's official website: "I missed the QPR FA Cup game before the African Cup of Nations with what I thought was a small injury."
"But the intensity of the games in the Africa Cup of Nations meant I needed a rest when I came back.
"It was hard mentally and physically but I've had a good rest over the last week and I feel refreshed."
Mulumbu went on to explain that he was happy to play through injury for his country and insisted there has been no lasting damage.
He added: "Mentally it was hard not to get through the group and it was quite painful physically playing through the injury.
"But when you play for your country and fans you just get over it - and I did it. I have been training this week but today was my first day back training with all the team.
"I think I will be fit for Monday's game, my knee is getting better, and I felt really good today."