Michael Owen could be fit for England's Euro 2008 qualifiers in October following a double operation.
The Newcastle United striker underwent surgery in Germany on Friday, and is had a second operation on Saturday.
"Only a few days in terms of recovery we're talking now, and then there's the abductor to think about with the tear.
"But really good news, not like all the speculation that we are neglecting him - that was rather distasteful as far as I was concerned.
"He is with the best in the world and that is why it's only a few days' recovery."
Asked whether he would rule Owen out of the forthcoming qualifiers with Estonia and Russia, Allardyce insisted: "I couldn't do that - with what we've heard from Germany it might be a shorter recovery than we thought.
"Taking that and the abductor into consideration, who knows? He may even be fit for Everton next week.
"There's a possibility, the surgeon said. There was such little damage, hardly any at all, it wasn't really a hernia, it was just a threatening of one and she has tidied that up now.
"We think the recovery will be days rather than weeks.
"We'll make the sensible decision for us and England, we have got to get both of them (the injuries) really cleared up and strong."