Former England captain Rooney has missed the last two matches - against Chelsea and West Bromwich Albion - due to illness but Allardyce has revealed the striker is back in contention.
"Wayne is back from illness," he said. "He has been stuck in bed for three days. Any quality player who gets fit and returns is a big boost. The only thing we have done recently is transformed the team into a better defensive unit and that has given us a platform.
"But I am still a little concerned about the amount of goals we are capable of scoring."
Allardyce is also hopeful James McCarthy, who played for the Under-23s prior to Christmas, will be available for selection whilst Yannick Bolasie, who made his return to action after a lengthy lay-off against the Baggies, is expected to feature.
"James should be training with us on Friday and should be fit for selection," he added. "Yannick seems alright [from the West Brom game] as well."
However, Idrissa Gana Gueye may not be risked, with a New Year's Day clash against Manchester United to come, whilst the game at the Vitality Stadium comes just too soon for Ross Barkley.
"We will find out about Idrissa today," Allardyce revealed. "It might be a bit risky to play him against Bournemouth, in the hope that he will be ok for Manchester United.
"I'd like to have had Ross by now but that hasn't been the case just yet. But he is training with us on a regular basis and he's very close to being available for selection."
Leighton Baines and Seamus Coleman also remain sidelined, with Allardyce revealing the former has suffered a setback in his return from a calf strain.
"Leighton's calf is still causing him problems which is a concern," he added. "We knew he wouldn't be available this weekend but we expected him to be back in full training next week. But that doesn't look like it is the case because he has had a setback in his rehab."