The striker was forced to come off injured in the 3-2 victory over Manchester City but wants to play a part in the final few games of the season.
The England international picked up a hamstring injury in the 3-2 win over Manchester City on Sunday with the Reds later confirming he had suffered a "small strain."
Sturridge is now a doubt for Liverpool's trip to face Norwich at Carrow Road but says he is working hard to return to fitness before the end of the season.
"Pushing myself to get back ASAP! Fuming I'm injured but it's life. Everything for a reason. God has his plan," he tweeted.
Brendan Rodgers acknowledged the striker "may struggle for the weekend" but revealed the striker's hamstring problem is not as serious as first feared.
"It's not too serious and won't keep him out for too many weeks, but he may be out for the weekend," he told reporters. "We'll assess it more over the next couple of days, but that's how we're looking at it at the moment. He may well make a real good recovery over the next few days and be ready for the weekend.
"At this moment in time we're just assessing him and seeing how he goes because he does recover very quickly. Before the first game of the season, he'd only played 45 minutes of football before he played and scored the winner [against Stoke]. It's certainly not as serious as what sometimes a hamstring injury can be."