The Three Lions landed in St Petersburg on Tuesday afternoon en route to their training base in Repino, with the tournament getting under way when hosts Russian Federation face Saudi Arabia on Thursday.
The squad is set to be put through their paces in front of the media when the extent of Rashford's problem, reportedly a minor knee complaint suffered by the Manchester United forward during a final training session, is expected to become clearer.
The England manager revealed the 20-year-old striker had picked up a "slight knock" in the Three Lions' final training session before flying out to Russian Federation, as reported by the Independent. They will play their opening game against Tunisia on June 18.
"We have another week of preparation and a lot of competition for places".
Southgate hopes the atmosphere of the Country Club ForRest Mix in Repino, on the Gulf of Finland and less than an hour away from St Petersburg, can help continue the squad's positive mindset which has grown during the course of the warm-up matches.
"With attacking players in particular, if they're going to try things and take people on and be creative, they're going to lose the ball and they're going to make errors".
"So to now be managing and leading my country to a World Cup is an extra special moment".
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We are one step closer to what is the biggest game in football as a professional". It is a great experience for us, and we got to learn from it.
However, if Southgate's plans to steadily progress at this World Cup do not materialise, Ferdinand says he should still keep his position as England head coach.
"We are really pleased with the base and looking forward to getting to meet the community there a bit more".
Kane, who jetted off to Russian Federation with his team-mates on Tuesday, was still at school when Pochettino fouled Michael Owen in the 2002 World Cup, allowing David Beckham to score from the penalty spot and earn England a 1-0 group-stage win over Argentina.
"We are hopeful players and family will get an opportunity to go into St Petersburg when we are not working".
England will also face World Cup debutants Panama and highly fancied Belgium in Group G.
Ashley Young insists he has no concerns over his family travelling out to support the Three Lions.
Such potential flash points led to Tottenham defender Danny Rose asking his family to remain behind at home amid fears of racist abuse.