Saka is having a hamstring issue assessed by club medics, but it is hoped he will be able to play some part for England over this international window.
Southgate is keen for the 19-year-old to be involved after impressing during his last call-up in the Autumn.
But Arsenal manager Mikel Arteta will not want to take any risks on a player who has become pivotal for the Gunners as they head into the closing stages of the season.
Southgate has made it clear that World Cup qualification must be taken seriously, despite concerns of club managers over the demands on players in this Covid-hit campaign, but he has also said player welfare is paramount, given the condensed nature of the season and heading into the Euros this summer.
Marcus Rashford has not trained with the rest of the squad as he continues to work indoors to rehabilitate a foot injury sustained in Manchester United’s 1-0 win against AC Milan in the Europa League last Thursday.
The problem ruled the 23-year-old out of the FA Cup quarter-final loss to Leicester, with United boss Ole Gunnar Solskjaer saying Rashford “wasn’t close” to facing the Foxes, although he did still link up with the England group this week as planned.