Elliott and Bennett were at the heart of a Robins defence who fell at the final hurdle in their League Two promotion bid, going down 2-0 to Crewe in Sunday's play-off final.
The 33-year-old former Derby and Bristol Rovers man is out of contract this summer, but would enjoy the chance to renew his alliance with Bennett next term.
"It's been a pleasure playing with Al this season," he said. "He's everything you would want in a centre-half partner.
"He's 100% committed, talks, encourages the young lads and myself, gets the line out and I think we've bounced off each other this season."
Elliott added: "It's been an absolute pleasure to play with all the team to be fair. They've all been great lads and all played their part. Who knows what's going to happen, but hopefully I can prolong my stay."