The Argentina captain is keen to quit the club and has been linked with a move to Inter Milan.
Hodgson told Sky Sports News: “I think that will be slightly more difficult.
“If a big offer comes in for him and it is a club that he wants to go to, I think that will be harder.
“But the good thing for me at the moment is that we haven’t had that offer and as a result I can continue to work with him and deal with him as a Liverpool player and consider him as a Liverpool player and just wait for the day, if the day comes, when the offer comes in.
“Then maybe if the offer comes in and it was the offer that meets our valuation and he wants to go, then I don’t know that my powers of persuasion will be much good in that situation.
“But maybe they will never be needed because we might not get the offer and he might stay with us.”