None of the Red Roses have announced their retirement since the final, but 37-year-old Hunter has already confirmed she will stop playing before a home World Cup in 2025.
Abbie Ward – a key player in England’s formidable line-out – says she will “100%” continue until the next World Cup, while star centre Emily Scarratt, who is 32, is undecided.
She said losing a second successive final to New Zealand was “certainly a driving force to win a World Cup”.
Scarratt said: “I said to my mum when I saw her and gave her a big hug: ‘Brace yourself, we might have to do another three years of this.’
“It’s definitely not a decision to be made now. We’ll see.”
Head coach Simon Middleton has also lost two World Cup finals in a row, and he is yet to confirm whether he wants to stay at the helm.
Middleton, whose reign has included a record 30-Test winning streak and four successive Six Nations titles, has a contract until the end of the 2023 Women’s Six Nations.
Sweeney told BBC Radio 5 Live it was “important to have some continuity” after the World Cup, adding it “would be good to have a woman” leading England “at some point”.
He said there was “a raft of coaches” on the RFU’s radar to succeed Middleton and confirmed he would discuss the head coach’s future when he is back in England.