Roy Hodgson's men begin their European Championship qualifying campaign in Basle on Monday against the side ranked ninth in the world.
It is a match they may well be without Sturridge for after the striker sustained a knock in training at St George's Park on Friday morning.
A post via the team's official Twitter account, @england, said: "Daniel Sturridge felt an injury in training this morning and will go for a scan this afternoon. He will then be assessed by England medics."
Hodgson will be sweating on the outcome of the scan, especially given the England boss is already having to take an inexperienced squad to St Jakob-Park.
The international retirements of Steven Gerrard, Frank Lampard and Ashley Cole have been compounded by a lengthy injury list, which includes Theo Walcott, Adam Lallana, Ross Barkley, Michael Carrick, Jay Rodriguez and Andy Carroll.
Defensive options Kyle Walker, Glen Johnson, Luke Shaw, Jon Flanagan, Chris Smalling and Kieran Gibbs are also unavailable, while West Brom goalkeeper Ben Foster and uncapped Newcastle midfielder Jack Colback have withdrawn from the 22-man squad in recent days.
Meanwhile, Gary Cahill sat out training with an ankle complaint, although the injury is not expected to rule him out on Monday
The 28-year-old started this week's unconvincing international friendly 1-0 win against Norway, playing 84 minutes before being replaced by Phil Jagielka.
Cahill was pictured with ice on his ankle after being substituted at half-full Wembley, but Three Lions boss Roy Hodgson quickly downplayed fears over his fitness.
Cahill's absence meant only 19 of the initial 22-man squad were in action, given West Brom goalkeeper Ben Foster and uncapped Newcastle midfielder Jack Colback had already withdrawn through injury.
As a result, three members of the England Under-20s squad were drafted in to help with the training session.
Southampton midfielder Harrison Reed, Barnsley's Paul Digby and Exeter goalkeeper Christy Pym all started the session with Hodgson's side ahead of the Under-20s' match against Romania in Telford later in the day.
- Sports & Recreation
- Roy Hodgson