The young Chelsea forward is to be given every chance of featuring for Team GB this summer as he faces a race to recover from contracting viral meningitis recently
Sturridge contracted viral meningitis last week, and although less serious than some other forms of the disease, it remains to be seen whether the 22-year-old will be able to regain full-fitness in time for the games.
"If he is fully fit, he will stay with us," Team GB manager Stuart Pearce told reporters. "If we think there are any doubts in any shape or form, we'll call someone else to replace him. July 25 is the latest we can make that decision.
"Doctors had a look at him last week, visited him and basically he will stay here.
"He won't come to Spain [for the pre-Olympic training camp] when we do our prep there, and all being well we'll pick him up when we fly back into the Olympic Village on Monday week.
"We will assess him at that time."
Sturridge started last season in good form, earning himself regular starts in Andre Villas-Boas' ill-fated spell as Chelsea boss, before gradually losing his place when Roberto Di Matteo took over.
That drop-off in that form saw him fade from the picture of likely candidates to represent England at Euro 2012, but Pearce is keen to not rule out the young forward until as late as possible.
"The good thing is we probably have a couple of weeks to make a decision on his fitness," the former England defender added.
"We still have a few weeks in respect to that, but the important thing is probably once we get him on the training pitch to look at him and see how he is and how much this illness has affected him."
As Goal.com exclusively revealed on Saturday, Sturridge is wanted by new Liverpool manager Brendan Rodgers in a £10 million deal, and is also being monitored by Tottenham and Arsenal.