Ledley King was the only absentee at England training on Tuesday morning as Wayne Rooney and Ashley Cole, who sat out Monday's session, were both able to take part.
Manchester United star Rooney picked up an ankle knock during Saturday's 1-1 draw with the United States while left-back Ashley Cole is usually given an extra day's rest because of an ongoing ankle complaint.
There are fears that Tottenham star King, who picked up a groin injury in the opening minutes of Saturday's draw, could be out for three weeks and may play no further part in the tournament.
However, there was some good news for Fabio Capello as midfielder Gareth Barry, who missed the USA match, is available to face Algeria on Friday.
The Manchester City player, who has been recovering from the ankle problem he suffered in the Premier League defeat to Tottenham more than a month ago, said: "The ankle has been fine for probably ten days.
"Another week's training in the lead-up to the Algeria game and it should be spot on. If the manager had asked me (to play against the USA) then I'd have bitten off his hand to try and make the starting team."
Algeria are at the foot of Group C after losing their opening game 1-0 to Slovenia on Sunday.