The in-form striker, who has plundered six goals in his last seven matches to take his tally for the season to 11, finally seems to have put his misfiring ways behind him. And Hodgson fears that means Premier League rivals will be ready to pounce.
"There are not so many players of Bobby's type playing in the Premier League and there are even fewer English ones playing in the Premier League,'' said Hodgson.
"We used to produce a lot of big, strong, target-playing type centre-forwards and we were always lamenting the fact that we didn't have the little, quick, tricky ones to play off them.
"Now it seems there is a dearth of target-player types so I wouldn't be at all surprised if we have calls for Bobby.
"We'll tell those that do bid, hopefully, that he is not for sale and we want to keep him here and we hope he wants to stay with us as well.
"Andrew Johnson and Bobby Zamora are our first-choice strikers. We have others, Zoltan (Gera) has done a great job in there, of course we've got (Erik) Nevland, (Diomansy) Kamara and (Seol) Ki-Hyeon.
"But Andy Johnson and Bobby Zamora were the two players who were bought to play in those positions and they are the two players who last season kicked us into seventh place.
"Bobby and AJ have a good understanding together and AJ gives us that threat in behind."