The striker has resumed training after just under a month on the sidelines with a hamstring problem.
Carroll has been dogged by injuries since joining West Ham in 2012 and has managed just seven starts in the Premier League this season.
But the 27-year-old is poised to be added to manager Slaven Bilic's squad for the tea-time clash on the south coast.
"Andy Carroll is back, he's been training with us since Monday," said Bilic.
"He had been out on the pitch training for 10 days before that. We are going to see on Thursday and Friday but he should be involved."