Manager Steve Bruce is currently assessing his options after allowing Trinidad and Tobago international Jones to make an £8million switch to Stoke, and has since been linked with Ghana international Asamoah Gyan and England counterpart Peter Crouch among others.
However, while there is money to spend, Bent is confident 22-year-old former Manchester United trainee Campbell could save the club millions.
Asked about the prospect of a big-name striker joining the Black Cats before the transfer window closes, Bent said: "If it happens, it happens.
"If not, then I am more than happy playing alongside Fraizer because he has come back and knocked in a lot of goals in pre-season and he looks ready now.
"In his own mind, he is ready to play week in, week out and if no-one comes in, I will be more than happy to play up front with Fraizer.''
The pair started Saturday's 2-2 Premier League draw with Birmingham, days after Jones headed for the Potteries, much to the surprise of the man he partnered for much of last season.
"It came out of the blue that Kenwyne was going - Kenwyne didn't even say anything himself about what was going on," Bent said.
"But the gaffer is going to make his decisions, he is going to do what he feels is best for the football club and he felt that was to let Kenwyne go.
"But it frees up options now for others and Fraizer is going to come in and take his chance now - he played really well on Saturday - and Danny [Welbeck] is there waiting and so is Martyn Waghorn.
"We all know we need to be firing and it frees up some space for someone else to take their chance.''