Eriksson admitted that Dyer may well not be fit in time for the first game against Sweden on 2 June.
"Maybe the first game - if not we think he will be Ok for the second game. But that's a decision we have to take one or two days before the Sweden game.
"With an injury like that, some recover quicker than others - hopefully Dyer is quicker."
"At this moment, we have three players who we're not sure are going to make the World Cup or not," Eriksson admitted.
But he added: "Nicky Butt is very close to joining in with the rest of the group.
"He worked very hard this morning and we'll see if this afternoon or at the next training whether he will work with the
group.
"From there on, of course, you have to see.
"For Beckham, it's a bone and hopefully next week he can train with the group. We think so.
"And then there's Dyer of course."