The former Roma frontman returned from a lengthy spell on the sidelines with a dislocated shoulder by scoring in the Reds' 6-0 thumping of Newcastle United on Saturday.
Liverpool boss Brendan Rodgers will be looking to the likes of Borini and Daniel Sturridge to lead the line due to Suarez's 10-match suspension for biting the arm of Chelsea defender Branislav Ivanovic.
"We have always been together as a group and I think the performance against Newcastle showed that," the Liverpool Echo quotes Borini as saying.
"I can play a big part now not because Luis is suspended but because I am back fit. Whether Luis is available or not, we all need to focus on doing our jobs."
The Reds will take on their Merseyside rivals Everton at Anfield this weekend.