Skipper Hammond sat out Tuesday night's thumping 6-0 victory at Oldham with a calf injury and winger Puncheon was missing through illness.
Lallana came off midway through the second half after picking up a knock to the leg but Saints are hopeful all three will be fit.
Wideman Lee Holmes is the only definite injury absentee following his ankle surgery last month.
Teenager Alex Chamberlain should keep his place after another impressive display against the Latics.
The winger is a reported January target for a host of clubs, including Liverpool, but Saints insists he is not for sale.
Source: PA
Source: PA