Carragher said: "I'm not kidding myself - if Steve Finnan came I don't think it would be to sit on the bench here.
"No-one has denied the rumours so there must be something in them, but what can you do?
"I'd rather he'd not come, obviously. But if I were to get injured now, no disrespect to the other players here, but I don't know who would come in.
"There have been a few defenders who have come and left because I have been in their position - and bigger names than Steve Finnan. Liverpool are a big club and if they feel this position needs improving then they'll do it. It's up to them."