The Italian has struggled with injuries since moving to Anfield last year, making just 20 appearances, and faces strong competition for a first-team berth following the arrivals of Iago Aspas and Luis Alberto.
But, in light of Daniel Sturridge's starring role in the opening two games of the season, the Northern Irishman still believes the 22-year-old Borini has a role to play at Anfield.
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"There would be a queue of clubs wanting to take him if he was available. We want to keep a strong group - it's a very long season for us.
"You've got Daniel, Fabio, Aspas and Luis [Suarez] to come in a number of weeks. We want to make sure the competition in the group is there."
As well as keeping Borini at the club, Rodgers also remains intent on making new signings before the transfer window shuts on September 2.
"We've got targets," he continued. "While the window is still open we'll continue to look to improve the squad. We'll hopefully come out of the back of it with a stronger group.
"The idea is for us to strengthen that little bit more and hopefully we can do that."