The duo has been linked with a moves away from Tottenham in the January transfer window.
Allardyce said: “If Tottenham say that Robbie Keane and David Bentley are available then you are always interested in quality players.
“If they are, then I think we will be one of many, many clubs in the Premier League who would be interested.
“I have identified some targets and some talks have started – I’ve discussed it with the chairman and he will discuss it with the new owners.
“It’s just a question of how much, that’s the key element because there are various targets at various prices and we will not rule out a loan signing either.”
